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1230892992 = 26327305281
BaseRepresentation
bin100100101011101…
…1110111111000000
310011210010211202100
41021113132333000
510010102033432
6322050150400
742334263210
oct11127367700
93153124670
101230892992
1158189713a
122a4282400
1316801ca64
14b9692240
15730de07c
hex495defc0

1230892992 has 84 divisors (see below), whose sum is σ = 4032164656. Its totient is φ = 351682560.

The previous prime is 1230892969. The next prime is 1230893029. The reversal of 1230892992 is 2992980321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148609 + ... + 156672.

Almost surely, 21230892992 is an apocalyptic number.

1230892992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1230892992 is an abundant number, since it is smaller than the sum of its proper divisors (2801271664).

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

1230892992 is a wasteful number, since it uses less digits than its factorization.

1230892992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305306 (or 305293 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1230892992 is about 35084.0845968653. The cubic root of 1230892992 is about 1071.7004992381.

The spelling of 1230892992 in words is "one billion, two hundred thirty million, eight hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 305281 610562 915843 1221124 1831686 2136967 2442248 2747529 3663372 4273934 4884496 5495058 6410901 7326744 8547868 9768992 10990116 12821802 14653488 17095736 19232703 19537984 21980232 25643604 29306976 34191472 38465406 43960464 51287208 58613952 68382944 76930812 87920928 102574416 136765888 153861624 175841856 205148832 307723248 410297664 615446496 1230892992