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1372000700 = 225273752973
BaseRepresentation
bin101000111000111…
…0001000110111100
310112121122212010202
41101301301012330
510302213010300
6344050423032
745666546020
oct12161610674
93477585122
101372000700
11644505484
12323591a78
1318b327345
14d0304380
15806b3ad5
hex51c711bc

1372000700 has 72 divisors (see below), whose sum is σ = 3494588832. Its totient is φ = 457678080.

The previous prime is 1372000661. The next prime is 1372000717. The reversal of 1372000700 is 70002731.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587 + ... + 52386.

It is an arithmetic number, because the mean of its divisors is an integer number (48535956).

It is the magic constant of a 1400 × 1400 magic square.

Almost surely, 21372000700 is an apocalyptic number.

1372000700 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 1372000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747294416).

1372000700 is an abundant number, since it is smaller than the sum of its proper divisors (2122588132).

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

1372000700 is a wasteful number, since it uses less digits than its factorization.

1372000700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53031 (or 53024 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 1372000700 is about 37040.5278040149. The cubic root of 1372000700 is about 1111.1809253540.

The spelling of 1372000700 in words is "one billion, three hundred seventy-two million, seven hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 700 740 925 1036 1295 1850 2590 3700 5180 6475 12950 25900 52973 105946 211892 264865 370811 529730 741622 1059460 1324325 1483244 1854055 1960001 2648650 3708110 3920002 5297300 7416220 7840004 9270275 9800005 13720007 18540550 19600010 27440014 37081100 39200020 49000025 54880028 68600035 98000050 137200070 196000100 274400140 343000175 686000350 1372000700