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101064936 = 23371993023
BaseRepresentation
bin1100000011000…
…10000011101000
321001011122000210
412001202003220
5201333034221
614010101120
72335015650
oct601420350
9231148023
10101064936
1152059645
1229a1a7a0
1317c2744b
14d5cb360
158d15276
hex60620e8

101064936 has 64 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 28721088.

The previous prime is 101064919. The next prime is 101064941. The reversal of 101064936 is 639460101.

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, 31921 + ... + 34943.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2101064936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101064936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

101064936 is an abundant number, since it is smaller than the sum of its proper divisors (189239064).

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

101064936 is a wasteful number, since it uses less digits than its factorization.

101064936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 101064936 is about 10053.1057887600. The cubic root of 101064936 is about 465.8007338772.

The spelling of 101064936 in words is "one hundred one million, sixty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 1194 1393 1592 2388 2786 3023 4179 4776 5572 6046 8358 9069 11144 12092 16716 18138 21161 24184 33432 36276 42322 63483 72552 84644 126966 169288 253932 507864 601577 1203154 1804731 2406308 3609462 4211039 4812616 7218924 8422078 12633117 14437848 16844156 25266234 33688312 50532468 101064936