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102232680 = 233511411889
BaseRepresentation
bin1100001011111…
…11001001101000
321010100221212120
412011333021220
5202132421210
614051111240
72350651314
oct605771150
9233327776
10102232680
1152786a20
122a2a2520
1318245b14
14d812b44
158e96270
hex617f268

102232680 has 128 divisors (see below), whose sum is σ = 342921600. Its totient is φ = 24166400.

The previous prime is 102232651. The next prime is 102232703. The reversal of 102232680 is 86232201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102232680.

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, 53176 + ... + 55064.

It is an arithmetic number, because the mean of its divisors is an integer number (2679075).

Almost surely, 2102232680 is an apocalyptic number.

102232680 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 102232680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460800).

102232680 is an abundant number, since it is smaller than the sum of its proper divisors (240688920).

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

102232680 is a wasteful number, since it uses less digits than its factorization.

102232680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 102232680 is about 10111.0177529268. The cubic root of 102232680 is about 467.5878832370.

Adding to 102232680 its reverse (86232201), we get a palindrome (188464881).

The spelling of 102232680 in words is "one hundred two million, two hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 1889 2255 2460 2706 3608 3778 4510 4920 5412 5667 6765 7556 9020 9445 10824 11334 13530 15112 18040 18890 20779 22668 27060 28335 37780 41558 45336 54120 56670 62337 75560 77449 83116 103895 113340 124674 154898 166232 207790 226680 232347 249348 309796 311685 387245 415580 464694 498696 619592 623370 774490 831160 851939 929388 1161735 1246740 1548980 1703878 1858776 2323470 2493480 2555817 3097960 3407756 4259695 4646940 5111634 6815512 8519390 9293880 10223268 12779085 17038780 20446536 25558170 34077560 51116340 102232680