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1398972564 = 22321112727817
BaseRepresentation
bin101001101100010…
…1010000010010100
310121111102011120200
41103120222002110
510331114110224
6350452500500
746445033133
oct12330520224
93544364520
101398972564
11658757880
1233061a730
13193aabc22
14d3b2591a
1582c405c9
hex5362a094

1398972564 has 72 divisors (see below), whose sum is σ = 3888288768. Its totient is φ = 420577920.

The previous prime is 1398972559. The next prime is 1398972571. The reversal of 1398972564 is 4652798931.

1398972564 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 9 + 72 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1398972564.

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, 36384 + ... + 64200.

Almost surely, 21398972564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398972564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944144384).

1398972564 is an abundant number, since it is smaller than the sum of its proper divisors (2489316204).

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

1398972564 is a wasteful number, since it uses less digits than its factorization.

1398972564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27965 (or 27960 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1398972564 is about 37402.8416567512. The cubic root of 1398972564 is about 1118.4152128964.

The spelling of 1398972564 in words is "one billion, three hundred ninety-eight million, nine hundred seventy-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 381 396 508 762 1143 1397 1524 2286 2794 4191 4572 5588 8382 12573 16764 25146 27817 50292 55634 83451 111268 166902 250353 305987 333804 500706 611974 917961 1001412 1223948 1835922 2753883 3532759 3671844 5507766 7065518 10598277 11015532 14131036 21196554 31794831 38860349 42393108 63589662 77720698 116581047 127179324 155441396 233162094 349743141 466324188 699486282 1398972564