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104202240 = 2173553
BaseRepresentation
bin1100011011000…
…00000000000000
321021002000121020
412031200000000
5203133432430
614201225440
72403463422
oct615400000
9237060536
10104202240
115390175a
122aa92280
131878543c
14dba6812
159234b10
hex6360000

104202240 has 144 divisors (see below), whose sum is σ = 339737328. Its totient is φ = 27262976.

The previous prime is 104202233. The next prime is 104202269. The reversal of 104202240 is 42202401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966054 + ... + 1966106.

It is an arithmetic number, because the mean of its divisors is an integer number (2359287).

Almost surely, 2104202240 is an apocalyptic number.

104202240 is a gapful number since it is divisible by the number (10) 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 104202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169868664).

104202240 is an abundant number, since it is smaller than the sum of its proper divisors (235535088).

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

104202240 is an frugal number, since it uses more digits than its factorization.

104202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 104202240 is about 10207.9498431370. The cubic root of 104202240 is about 470.5715696059.

Adding to 104202240 its reverse (42202401), we get a palindrome (146404641).

The spelling of 104202240 in words is "one hundred four million, two hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 159 160 192 212 240 256 265 318 320 384 424 480 512 530 636 640 768 795 848 960 1024 1060 1272 1280 1536 1590 1696 1920 2048 2120 2544 2560 3072 3180 3392 3840 4096 4240 5088 5120 6144 6360 6784 7680 8192 8480 10176 10240 12288 12720 13568 15360 16384 16960 20352 20480 24576 25440 27136 30720 32768 33920 40704 40960 49152 50880 54272 61440 65536 67840 81408 81920 98304 101760 108544 122880 131072 135680 162816 163840 196608 203520 217088 245760 271360 325632 327680 393216 407040 434176 491520 542720 651264 655360 814080 868352 983040 1085440 1302528 1628160 1736704 1966080 2170880 2605056 3256320 3473408 4341760 5210112 6512640 6946816 8683520 10420224 13025280 17367040 20840448 26050560 34734080 52101120 104202240