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101690964 = 22341916519
BaseRepresentation
bin1100000111110…
…10111001010100
321002100102210000
412003322321110
5202013102324
614031331300
72343234054
oct603727124
9232312700
10101690964
1152446a21
122a080b30
13180b638b
14d711564
158dda9c9
hex60fae54

101690964 has 60 divisors (see below), whose sum is σ = 279848800. Its totient is φ = 32110992.

The previous prime is 101690921. The next prime is 101690969. The reversal of 101690964 is 469096101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101690969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2104 + ... + 14415.

Almost surely, 2101690964 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 101690964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139924400).

101690964 is an abundant number, since it is smaller than the sum of its proper divisors (178157836).

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

101690964 is a wasteful number, since it uses less digits than its factorization.

101690964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16554 (or 16543 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 101690964 is about 10084.1937704509. The cubic root of 101690964 is about 466.7605269257.

The spelling of 101690964 in words is "one hundred one million, six hundred ninety thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 16519 33038 49557 66076 99114 148671 198228 297342 313861 446013 594684 627722 892026 941583 1255444 1338039 1784052 1883166 2676078 2824749 3766332 5352156 5649498 8474247 11298996 16948494 25422741 33896988 50845482 101690964