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102911472 = 243717173
BaseRepresentation
bin1100010001001…
…00110111110000
321011122110000000
412020210313300
5202321131342
614113430000
72356506306
oct610446760
9234573000
10102911472
11530aaa04
122a56b300
1318422a81
14d94c276
15907c44c
hex6224df0

102911472 has 160 divisors (see below), whose sum is σ = 318461760. Its totient is φ = 32099328.

The previous prime is 102911461. The next prime is 102911477. The reversal of 102911472 is 274119201.

102911472 is a `hidden beast` number, since 102 + 91 + 1 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102911477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594778 + ... + 594950.

It is an arithmetic number, because the mean of its divisors is an integer number (1990386).

Almost surely, 2102911472 is an apocalyptic number.

102911472 is a gapful number since it is divisible by the number (12) 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 102911472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159230880).

102911472 is an abundant number, since it is smaller than the sum of its proper divisors (215550288).

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

102911472 is an equidigital number, since it uses as much as digits as its factorization.

102911472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 102911472 is about 10144.5291660086. The cubic root of 102911472 is about 468.6204787750.

The spelling of 102911472 in words is "one hundred two million, nine hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 173 204 216 243 272 306 324 346 408 432 459 486 519 612 648 692 729 816 918 972 1038 1224 1296 1377 1384 1458 1557 1836 1944 2076 2187 2448 2754 2768 2916 2941 3114 3672 3888 4131 4152 4374 4671 5508 5832 5882 6228 7344 8262 8304 8748 8823 9342 11016 11664 11764 12393 12456 14013 16524 17496 17646 18684 22032 23528 24786 24912 26469 28026 33048 34992 35292 37179 37368 42039 47056 49572 52938 56052 66096 70584 74358 74736 79407 84078 99144 105876 112104 126117 141168 148716 158814 168156 198288 211752 224208 238221 252234 297432 317628 336312 378351 423504 476442 504468 594864 635256 672624 714663 756702 952884 1008936 1270512 1429326 1513404 1905768 2017872 2143989 2858652 3026808 3811536 4287978 5717304 6053616 6431967 8575956 11434608 12863934 17151912 25727868 34303824 51455736 102911472