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101070640 = 24511432671
BaseRepresentation
bin1100000011000…
…11011100110000
321001011220212001
412001203130300
5201333230030
614010143344
72335041406
oct601433460
9231156761
10101070640
1152062960
1229a21b54
1317c29c18
14d5cd476
158d16cca
hex6063730

101070640 has 80 divisors (see below), whose sum is σ = 262411776. Its totient is φ = 35884800.

The previous prime is 101070623. The next prime is 101070659. The reversal of 101070640 is 46070101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36505 + ... + 39175.

Almost surely, 2101070640 is an apocalyptic number.

101070640 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 101070640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131205888).

101070640 is an abundant number, since it is smaller than the sum of its proper divisors (161341136).

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

101070640 is a wasteful number, since it uses less digits than its factorization.

101070640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 101070640 is about 10053.3894781810. The cubic root of 101070640 is about 465.8094968156.

The spelling of 101070640 in words is "one hundred one million, seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 2671 3440 3784 4730 5342 7568 9460 10684 13355 18920 21368 26710 29381 37840 42736 53420 58762 106840 114853 117524 146905 213680 229706 235048 293810 459412 470096 574265 587620 918824 1148530 1175240 1263383 1837648 2297060 2350480 2526766 4594120 5053532 6316915 9188240 10107064 12633830 20214128 25267660 50535320 101070640