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1372212972 = 22321311532543
BaseRepresentation
bin101000111001010…
…0100111011101100
310112122001122022200
41101302210323230
510302241303342
6344055141500
746001421624
oct12162447354
93478048280
101372212972
1164463aa09
12323674890
1318b39cb50
14d035b884
158070694c
hex51ca4eec

1372212972 has 72 divisors (see below), whose sum is σ = 3740178624. Its totient is φ = 421687296.

The previous prime is 1372212929. The next prime is 1372212977. The reversal of 1372212972 is 2792122731.

1372212972 is a `hidden beast` number, since 1 + 372 + 212 + 9 + 72 = 666.

1372212972 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1372212977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538333 + ... + 540875.

Almost surely, 21372212972 is an apocalyptic number.

1372212972 is a gapful number since it is divisible by the number (12) 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 1372212972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870089312).

1372212972 is an abundant number, since it is smaller than the sum of its proper divisors (2367965652).

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

1372212972 is a wasteful number, since it uses less digits than its factorization.

1372212972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3714 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 1372212972 is about 37043.3930951256. The cubic root of 1372212972 is about 1111.2382286372.

The spelling of 1372212972 in words is "one billion, three hundred seventy-two million, two hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1153 2306 2543 3459 4612 5086 6918 7629 10172 10377 13836 14989 15258 20754 22887 29978 30516 33059 41508 44967 45774 59956 66118 89934 91548 99177 132236 134901 179868 198354 269802 297531 396708 539604 595062 1190124 2932079 5864158 8796237 11728316 17592474 26388711 35184948 38117027 52777422 76234054 105554844 114351081 152468108 228702162 343053243 457404324 686106486 1372212972