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1292968152 = 233274435791
BaseRepresentation
bin100110100010001…
…0010000011011000
310100002221120212100
41031010102003120
510121444440102
6332144443400
744020022310
oct11504220330
93302846770
101292968152
11603935123
12301019560
13177b45418
14c3a10440
15787a1a1c
hex4d1120d8

1292968152 has 96 divisors (see below), whose sum is σ = 4011770880. Its totient is φ = 368521920.

The previous prime is 1292968129. The next prime is 1292968177. The reversal of 1292968152 is 2518692921.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1292968098 and 1292968107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220377 + ... + 226167.

It is an arithmetic number, because the mean of its divisors is an integer number (41789280).

Almost surely, 21292968152 is an apocalyptic number.

1292968152 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 1292968152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005885440).

1292968152 is an abundant number, since it is smaller than the sum of its proper divisors (2718802728).

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

1292968152 is a wasteful number, since it uses less digits than its factorization.

1292968152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6246 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 1292968152 is about 35957.8663438197. The cubic root of 1292968152 is about 1089.4215015161.

It can be divided in two parts, 12 and 92968152, that added together give a square (92968164 = 96422).

The spelling of 1292968152 in words is "one billion, two hundred ninety-two million, nine hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 443 504 886 1329 1772 2658 3101 3544 3987 5316 5791 6202 7974 9303 10632 11582 12404 15948 17373 18606 23164 24808 27909 31896 34746 37212 40537 46328 52119 55818 69492 74424 81074 104238 111636 121611 138984 162148 208476 223272 243222 324296 364833 416952 486444 729666 972888 1459332 2565413 2918664 5130826 7696239 10261652 15392478 17957891 20523304 23088717 30784956 35915782 46177434 53873673 61569912 71831564 92354868 107747346 143663128 161621019 184709736 215494692 323242038 430989384 646484076 1292968152