Search a number
-
+
31141920 = 253564879
BaseRepresentation
bin111011011001…
…1000000100000
32011121011200110
41312303000200
530433020140
63031251320
7525462525
oct166630040
964534613
1031141920
1116640427
12a519b40
1365b4994
1441c914c
152b02380
hex1db3020

31141920 has 48 divisors (see below), whose sum is σ = 98098560. Its totient is φ = 8304384.

The previous prime is 31141907. The next prime is 31141921. The reversal of 31141920 is 2914113.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (31141921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31960 + ... + 32919.

It is an arithmetic number, because the mean of its divisors is an integer number (2043720).

Almost surely, 231141920 is an apocalyptic number.

31141920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31141920 is an abundant number, since it is smaller than the sum of its proper divisors (66956640).

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

31141920 is a wasteful number, since it uses less digits than its factorization.

31141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64897 (or 64889 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 31141920 is about 5580.4946017356. The cubic root of 31141920 is about 314.6167169909.

The spelling of 31141920 in words is "thirty-one million, one hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 64879 129758 194637 259516 324395 389274 519032 648790 778548 973185 1038064 1297580 1557096 1946370 2076128 2595160 3114192 3892740 5190320 6228384 7785480 10380640 15570960 31141920