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1972399920 = 24358218333
BaseRepresentation
bin111010110010000…
…0110111100110000
312002110102022000220
41311210012330300
513014413244140
6523415213040
766610060041
oct16544067460
95073368026
101972399920
11922406287
12470677180
1325583285a
14149d528c8
15b825ebd0
hex75906f30

1972399920 has 40 divisors (see below), whose sum is σ = 6114440496. Its totient is φ = 525973248.

The previous prime is 1972399879. The next prime is 1972399943. The reversal of 1972399920 is 299932791.

It is a happy number.

1972399920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×19723999202 = 7780722888832012800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4108927 + ... + 4109406.

Almost surely, 21972399920 is an apocalyptic number.

1972399920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972399920 is an abundant number, since it is smaller than the sum of its proper divisors (4142040576).

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

1972399920 is a wasteful number, since it uses less digits than its factorization.

1972399920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8218349 (or 8218343 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 51.

The square root of 1972399920 is about 44411.7092668139. The cubic root of 1972399920 is about 1254.0985298882.

The spelling of 1972399920 in words is "one billion, nine hundred seventy-two million, three hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8218333 16436666 24654999 32873332 41091665 49309998 65746664 82183330 98619996 123274995 131493328 164366660 197239992 246549990 328733320 394479984 493099980 657466640 986199960 1972399920