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102311664 = 24371359397
BaseRepresentation
bin1100001100100…
…10011011110000
321010111222012220
412012102123300
5202142433124
614052521040
72351430510
oct606223360
9233458186
10102311664
11528302a4
122a320180
1318272a60
14d833840
158eae879
hex61926f0

102311664 has 160 divisors (see below), whose sum is σ = 331645440. Its totient is φ = 26459136.

The previous prime is 102311653. The next prime is 102311689. The reversal of 102311664 is 466113201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257514 + ... + 257910.

It is an arithmetic number, because the mean of its divisors is an integer number (2072784).

Almost surely, 2102311664 is an apocalyptic number.

102311664 is a gapful number since it is divisible by the number (14) 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 102311664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165822720).

102311664 is an abundant number, since it is smaller than the sum of its proper divisors (229333776).

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

102311664 is a wasteful number, since it uses less digits than its factorization.

102311664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102311664 is about 10114.9228370759. The cubic root of 102311664 is about 467.7082702286.

Adding to 102311664 its reverse (466113201), we get a palindrome (568424865).

The spelling of 102311664 in words is "one hundred two million, three hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 59 78 84 91 104 112 118 156 168 177 182 208 236 273 312 336 354 364 397 413 472 546 624 708 728 767 794 826 944 1092 1191 1239 1416 1456 1534 1588 1652 2184 2301 2382 2478 2779 2832 3068 3176 3304 4368 4602 4764 4956 5161 5369 5558 6136 6352 6608 8337 9204 9528 9912 10322 10738 11116 12272 15483 16107 16674 18408 19056 19824 20644 21476 22232 23423 30966 32214 33348 36127 36816 41288 42952 44464 46846 61932 64428 66696 70269 72254 82576 85904 93692 108381 123864 128856 133392 140538 144508 163961 187384 216762 247728 257712 281076 289016 304499 327922 374768 433524 491883 562152 578032 608998 655844 867048 913497 983766 1124304 1217996 1311688 1734096 1826994 1967532 2131493 2435992 2623376 3653988 3935064 4262986 4871984 6394479 7307976 7870128 8525972 12788958 14615952 17051944 25577916 34103888 51155832 102311664