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1972934920 = 2351119235997
BaseRepresentation
bin111010110011000…
…1001100100001000
312002111102110220201
41311212021210020
513020032404140
6523434501544
766614445565
oct16546114410
95074373821
101972934920
11922741230
124708948b4
1325598c218
1414a05186c
15b831849a
hex75989908

1972934920 has 64 divisors (see below), whose sum is σ = 5097556800. Its totient is φ = 679668480.

The previous prime is 1972934897. The next prime is 1972934921. The reversal of 1972934920 is 294392791.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1972934921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109639 + ... + 126358.

It is an arithmetic number, because the mean of its divisors is an integer number (79649325).

Almost surely, 21972934920 is an apocalyptic number.

1972934920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972934920 is an abundant number, since it is smaller than the sum of its proper divisors (3124621880).

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

1972934920 is a wasteful number, since it uses less digits than its factorization.

1972934920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236038 (or 236034 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 1972934920 is about 44417.7320447589. The cubic root of 1972934920 is about 1254.2119081899.

The spelling of 1972934920 in words is "one billion, nine hundred seventy-two million, nine hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 235997 471994 943988 1179985 1887976 2359970 2595967 4483943 4719940 5191934 8967886 9439880 10383868 12979835 17935772 20767736 22419715 25959670 35871544 44839430 49323373 51919340 89678860 98646746 103838680 179357720 197293492 246616865 394586984 493233730 986467460 1972934920