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102691320 = 233523291283
BaseRepresentation
bin1100001111011…
…11000111111000
321011020021000020
412013233013320
5202242110240
614105010440
72354601414
oct607570770
9234207006
10102691320
1152a6a566
122a483a20
13183767c4
14d8d1d44
1590370d0
hex61ef1f8

102691320 has 128 divisors (see below), whose sum is σ = 332812800. Its totient is φ = 25270784.

The previous prime is 102691301. The next prime is 102691327. The reversal of 102691320 is 23196201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102691327) 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, 79399 + ... + 80681.

It is an arithmetic number, because the mean of its divisors is an integer number (2600100).

Almost surely, 2102691320 is an apocalyptic number.

102691320 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 102691320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166406400).

102691320 is an abundant number, since it is smaller than the sum of its proper divisors (230121480).

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

102691320 is a wasteful number, since it uses less digits than its factorization.

102691320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 102691320 is about 10133.6725820405. The cubic root of 102691320 is about 468.2860768276.

The spelling of 102691320 in words is "one hundred two million, six hundred ninety-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 870 920 1160 1283 1334 1380 1740 2001 2566 2668 2760 3335 3480 3849 4002 5132 5336 6415 6670 7698 8004 10005 10264 12830 13340 15396 16008 19245 20010 25660 26680 29509 30792 37207 38490 40020 51320 59018 74414 76980 80040 88527 111621 118036 147545 148828 153960 177054 186035 223242 236072 295090 297656 354108 372070 442635 446484 558105 590180 708216 744140 855761 885270 892968 1116210 1180360 1488280 1711522 1770540 2232420 2567283 3423044 3541080 4278805 4464840 5134566 6846088 8557610 10269132 12836415 17115220 20538264 25672830 34230440 51345660 102691320