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1690138352 = 247311273833
BaseRepresentation
bin110010010111101…
…0111011011110000
311100210021220221202
41210233113123300
511430133411402
6435413310332
756611640030
oct14457273360
94323256852
101690138352
11798047a61
123b20353a8
1320c205986
141206798c0
159d5a6b02
hex64bd76f0

1690138352 has 80 divisors (see below), whose sum is σ = 3894607872. Its totient is φ = 695278080.

The previous prime is 1690138337. The next prime is 1690138381. The reversal of 1690138352 is 2538310961.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439028 + ... + 442860.

Almost surely, 21690138352 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 1690138352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947303936).

1690138352 is an abundant number, since it is smaller than the sum of its proper divisors (2204469520).

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

1690138352 is a wasteful number, since it uses less digits than its factorization.

1690138352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 1690138352 is about 41111.2922686699. The cubic root of 1690138352 is about 1191.1709285271.

The spelling of 1690138352 in words is "one billion, six hundred ninety million, one hundred thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 127 217 248 254 434 496 508 868 889 1016 1736 1778 2032 3472 3556 3833 3937 7112 7666 7874 14224 15332 15748 26831 27559 30664 31496 53662 55118 61328 62992 107324 110236 118823 214648 220472 237646 429296 440944 475292 486791 831761 950584 973582 1663522 1901168 1947164 3327044 3407537 3894328 6654088 6815074 7788656 13308176 13630148 15090521 27260296 30181042 54520592 60362084 105633647 120724168 211267294 241448336 422534588 845069176 1690138352