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1310911992 = 2333131924571
BaseRepresentation
bin100111000100010…
…1110110111111000
310101100201020012000
41032020232313320
510141043140432
6334025221000
744325365565
oct11610566770
93340636160
101310911992
11612a80645
12307031760
1317b788990
14c616186c
157a14857c
hex4e22edf8

1310911992 has 128 divisors (see below), whose sum is σ = 4128096000. Its totient is φ = 382112640.

The previous prime is 1310911991. The next prime is 1310911999. The reversal of 1310911992 is 2991190131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310911991) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 41067 + ... + 65637.

It is an arithmetic number, because the mean of its divisors is an integer number (32250750).

Almost surely, 21310911992 is an apocalyptic number.

1310911992 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 1310911992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064048000).

1310911992 is an abundant number, since it is smaller than the sum of its proper divisors (2817184008).

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

1310911992 is a wasteful number, since it uses less digits than its factorization.

1310911992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24618 (or 24608 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 36.

The square root of 1310911992 is about 36206.5186396041. The cubic root of 1310911992 is about 1094.4380377861.

The spelling of 1310911992 in words is "one billion, three hundred ten million, nine hundred eleven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 24571 26676 49142 53352 73713 98284 147426 196568 221139 294852 319423 442278 466849 589704 638846 663417 884556 933698 958269 1277692 1326834 1400547 1769112 1867396 1916538 2555384 2653668 2801094 2874807 3734792 3833076 4201641 5307336 5602188 5749614 6069037 7666152 8403282 8624421 11204376 11499228 12138074 12604923 16806564 17248842 18207111 22998456 24276148 25209846 33613128 34497684 36414222 48552296 50419692 54621333 68995368 72828444 100839384 109242666 145656888 163863999 218485332 327727998 436970664 655455996 1310911992