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64101690 = 232523173179
BaseRepresentation
bin1111010010000…
…1110100111010
311110121200222200
43310201310322
5112402223230
610205531030
71405566252
oct364416472
9143550880
1064101690
1133202604
1219573a76
1310384bc3
148728962
155963160
hex3d21d3a

64101690 has 96 divisors (see below), whose sum is σ = 175893120. Its totient is φ = 16165248.

The previous prime is 64101689. The next prime is 64101731. The reversal of 64101690 is 9610146.

64101690 is a `hidden beast` number, since 641 + 0 + 16 + 9 + 0 = 666.

It is a super-2 number, since 2×641016902 = 8218053321712200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358021 + ... + 358199.

It is an arithmetic number, because the mean of its divisors is an integer number (1832220).

Almost surely, 264101690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64101690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87946560).

64101690 is an abundant number, since it is smaller than the sum of its proper divisors (111791430).

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

64101690 is a wasteful number, since it uses less digits than its factorization.

64101690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 64101690 is about 8006.3531023806. The cubic root of 64101690 is about 400.2117420601.

It can be divided in two parts, 6410 and 1690, that added together give a square (8100 = 902).

The spelling of 64101690 in words is "sixty-four million, one hundred one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 173 179 207 230 345 346 358 414 519 537 690 865 895 1035 1038 1074 1557 1611 1730 1790 2070 2595 2685 3114 3222 3979 4117 5190 5370 7785 7958 8055 8234 11937 12351 15570 16110 19895 20585 23874 24702 30967 35811 37053 39790 41170 59685 61755 61934 71622 74106 92901 119370 123510 154835 179055 185265 185802 278703 309670 358110 370530 464505 557406 712241 929010 1393515 1424482 2136723 2787030 3561205 4273446 6410169 7122410 10683615 12820338 21367230 32050845 64101690