Search a number
-
+
90954240 = 293513911
BaseRepresentation
bin1010110101111…
…01101000000000
320100010221202120
411122331220000
5141241013430
613005244240
72153045466
oct532755000
9210127676
1090954240
11473832a3
1226563680
1315ac73a0
14c118836
157eb9610
hex56bda00

90954240 has 160 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 22364160.

The previous prime is 90954239. The next prime is 90954247. The reversal of 90954240 is 4245909.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90954247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99385 + ... + 100295.

Almost surely, 290954240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

90954240 is an abundant number, since it is smaller than the sum of its proper divisors (222525696).

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

90954240 is a wasteful number, since it uses less digits than its factorization.

90954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 90954240 is about 9536.9932368645. The cubic root of 90954240 is about 449.7187378204.

The spelling of 90954240 in words is "ninety million, nine hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 911 960 1040 1248 1280 1536 1560 1664 1822 1920 2080 2496 2560 2733 3120 3328 3644 3840 4160 4555 4992 5466 6240 6656 7288 7680 8320 9110 9984 10932 11843 12480 13665 14576 16640 18220 19968 21864 23686 24960 27330 29152 33280 35529 36440 43728 47372 49920 54660 58304 59215 71058 72880 87456 94744 99840 109320 116608 118430 142116 145760 174912 177645 189488 218640 233216 236860 284232 291520 349824 355290 378976 437280 466432 473720 568464 583040 699648 710580 757952 874560 947440 1136928 1166080 1399296 1421160 1515904 1749120 1894880 2273856 2332160 2842320 3031808 3498240 3789760 4547712 5684640 6063616 6996480 7579520 9095424 11369280 15159040 18190848 22738560 30318080 45477120 90954240