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195436640 = 2557211827
BaseRepresentation
bin10111010011000…
…10000001100000
3111121202012200002
423221202001200
5400012433030
631220515132
74562120060
oct1351420140
9447665602
10195436640
11a0356493
125554baa8
133164a1a9
141bd553a0
1512257245
hexba62060

195436640 has 96 divisors (see below), whose sum is σ = 530820864. Its totient is φ = 66608640.

The previous prime is 195436639. The next prime is 195436651. The reversal of 195436640 is 46634591.

195436640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 195436594 and 195436603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235907 + ... + 236733.

It is an arithmetic number, because the mean of its divisors is an integer number (5529384).

Almost surely, 2195436640 is an apocalyptic number.

195436640 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 195436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265410432).

195436640 is an abundant number, since it is smaller than the sum of its proper divisors (335384224).

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

195436640 is a wasteful number, since it uses less digits than its factorization.

195436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 195436640 is about 13979.8655215277. The cubic root of 195436640 is about 580.3215022928.

The spelling of 195436640 in words is "one hundred ninety-five million, four hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 211 224 280 422 560 827 844 1055 1120 1477 1654 1688 2110 2954 3308 3376 4135 4220 5789 5908 6616 6752 7385 8270 8440 11578 11816 13232 14770 16540 16880 23156 23632 26464 28945 29540 33080 33760 46312 47264 57890 59080 66160 92624 115780 118160 132320 174497 185248 231560 236320 348994 463120 697988 872485 926240 1221479 1395976 1744970 2442958 2791952 3489940 4885916 5583904 6107395 6979880 9771832 12214790 13959760 19543664 24429580 27919520 39087328 48859160 97718320 195436640