Search a number
-
+
101262040 = 23511373617
BaseRepresentation
bin1100000100100…
…10001011011000
321001112122101221
412002102023120
5201410341130
614014221424
72336466415
oct602221330
9231478357
10101262040
1152183740
1229ab4874
1317c96089
14d63d10c
158d5387a
hex60922d8

101262040 has 64 divisors (see below), whose sum is σ = 249622560. Its totient is φ = 36664320.

The previous prime is 101262019. The next prime is 101262041. The reversal of 101262040 is 40262101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101262041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163812 + ... + 164428.

Almost surely, 2101262040 is an apocalyptic number.

101262040 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 101262040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124811280).

101262040 is an abundant number, since it is smaller than the sum of its proper divisors (148360520).

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

101262040 is a wasteful number, since it uses less digits than its factorization.

101262040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101262040 is about 10062.9041533744. The cubic root of 101262040 is about 466.1033497679.

The spelling of 101262040 in words is "one hundred one million, two hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 373 440 617 746 1234 1492 1865 2468 2984 3085 3730 4103 4936 6170 6787 7460 8206 12340 13574 14920 16412 20515 24680 27148 32824 33935 41030 54296 67870 82060 135740 164120 230141 271480 460282 920564 1150705 1841128 2301410 2531551 4602820 5063102 9205640 10126204 12657755 20252408 25315510 50631020 101262040