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1390319800 = 23521272431
BaseRepresentation
bin101001011011110…
…1001100010111000
310120220010120012221
41102313221202320
510321410213200
6345543213424
746311344332
oct12267514270
93526116187
101390319800
11653887931
12329747274
1319206c64c
14d2912452
15820d191a
hex52de98b8

1390319800 has 72 divisors (see below), whose sum is σ = 3265706160. Its totient is φ = 550468800.

The previous prime is 1390319779. The next prime is 1390319809. The reversal of 1390319800 is 89130931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390319809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3225585 + ... + 3226015.

It is an arithmetic number, because the mean of its divisors is an integer number (45357030).

Almost surely, 21390319800 is an apocalyptic number.

1390319800 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 1390319800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632853080).

1390319800 is an abundant number, since it is smaller than the sum of its proper divisors (1875386360).

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

1390319800 is a wasteful number, since it uses less digits than its factorization.

1390319800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 1390319800 is about 37286.9923699941. The cubic root of 1390319800 is about 1116.1046115799.

The spelling of 1390319800 in words is "one billion, three hundred ninety million, three hundred nineteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 431 508 635 862 1016 1270 1724 2155 2540 3175 3448 4310 5080 6350 8620 10775 12700 16129 17240 21550 25400 32258 43100 54737 64516 80645 86200 109474 129032 161290 218948 273685 322580 403225 437896 547370 645160 806450 1094740 1368425 1612900 2189480 2736850 3225800 5473700 6951599 10947400 13903198 27806396 34757995 55612792 69515990 139031980 173789975 278063960 347579950 695159900 1390319800