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1990266432 = 263711177919
BaseRepresentation
bin111011010100001…
…0000111001000000
312010201001000021120
41312220100321000
513034002011212
6525254152240
7100214662020
oct16650207100
95121030246
101990266432
119314a96a0
12476652680
13259449b5b
1414c483a80
15b9add88c
hex76a10e40

1990266432 has 224 divisors, whose sum is σ = 6952366080. Its totient is φ = 486481920.

The previous prime is 1990266419. The next prime is 1990266463. The reversal of 1990266432 is 2346620991.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×19902664322 = 7922320940692021248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247369 + ... + 255287.

Almost surely, 21990266432 is an apocalyptic number.

1990266432 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 1990266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476183040).

1990266432 is an abundant number, since it is smaller than the sum of its proper divisors (4962099648).

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

1990266432 is a wasteful number, since it uses less digits than its factorization.

1990266432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7969 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 1990266432 is about 44612.4022218037. The cubic root of 1990266432 is about 1257.8738039240.

The spelling of 1990266432 in words is "one billion, nine hundred ninety million, two hundred sixty-six thousand, four hundred thirty-two".