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841482240 = 21935107
BaseRepresentation
bin110010001010000…
…000000000000000
32011122101201121220
4302022000000000
53210404412430
6215255515040
726565323664
oct6212000000
92148351556
10841482240
113a1aa4075
121b5988a80
131054482b1
147da868a4
154dd1d110
hex32280000

841482240 has 160 divisors (see below), whose sum is σ = 2717906400. Its totient is φ = 222298112.

The previous prime is 841482227. The next prime is 841482247. The reversal of 841482240 is 42284148.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (841482247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7864267 + ... + 7864373.

It is an arithmetic number, because the mean of its divisors is an integer number (16986915).

Almost surely, 2841482240 is an apocalyptic number.

841482240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358953200).

841482240 is an abundant number, since it is smaller than the sum of its proper divisors (1876424160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

841482240 is an frugal number, since it uses more digits than its factorization.

841482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 841482240 is about 29008.3132911929. The cubic root of 841482240 is about 944.0934504824.

841482240 divided by its product of nonzero digits (16384) gives a triangular number (51360 = T320).

The spelling of 841482240 in words is "eight hundred forty-one million, four hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 128 160 192 214 240 256 320 321 384 428 480 512 535 640 642 768 856 960 1024 1070 1280 1284 1536 1605 1712 1920 2048 2140 2560 2568 3072 3210 3424 3840 4096 4280 5120 5136 6144 6420 6848 7680 8192 8560 10240 10272 12288 12840 13696 15360 16384 17120 20480 20544 24576 25680 27392 30720 32768 34240 40960 41088 49152 51360 54784 61440 65536 68480 81920 82176 98304 102720 109568 122880 131072 136960 163840 164352 196608 205440 219136 245760 262144 273920 327680 328704 393216 410880 438272 491520 524288 547840 655360 657408 786432 821760 876544 983040 1095680 1310720 1314816 1572864 1643520 1753088 1966080 2191360 2621440 2629632 3287040 3506176 3932160 4382720 5259264 6574080 7012352 7864320 8765440 10518528 13148160 14024704 17530880 21037056 26296320 28049408 35061760 42074112 52592640 56098816 70123520 84148224 105185280 140247040 168296448 210370560 280494080 420741120 841482240