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31134096 = 2432767461
BaseRepresentation
bin111011011000…
…1000110010000
32011120202221200
41312301012100
530432242341
63031151200
7525430650
oct166610620
964522850
1031134096
1116635564
12a515500
1365b1256
1441c6360
152aeedb6
hex1db1190

31134096 has 120 divisors (see below), whose sum is σ = 101285184. Its totient is φ = 8743680.

The previous prime is 31134091. The next prime is 31134097. The reversal of 31134096 is 69043113.

31134096 is a `hidden beast` number, since 311 + 340 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (31134091) by changing a digit.

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, 67306 + ... + 67766.

Almost surely, 231134096 is an apocalyptic number.

31134096 is a gapful number since it is divisible by the number (36) 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 31134096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50642592).

31134096 is an abundant number, since it is smaller than the sum of its proper divisors (70151088).

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

31134096 is a wasteful number, since it uses less digits than its factorization.

31134096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 31134096 is about 5579.7935445678. The cubic root of 31134096 is about 314.5903670060.

The spelling of 31134096 in words is "thirty-one million, one hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 461 469 504 536 603 804 922 938 1008 1072 1206 1383 1407 1608 1844 1876 2412 2766 2814 3216 3227 3688 3752 4149 4221 4824 5532 5628 6454 7376 7504 8298 8442 9648 9681 11064 11256 12908 16596 16884 19362 22128 22512 25816 29043 30887 33192 33768 38724 51632 58086 61774 66384 67536 77448 92661 116172 123548 154896 185322 216209 232344 247096 277983 370644 432418 464688 494192 555966 648627 741288 864836 1111932 1297254 1482576 1729672 1945881 2223864 2594508 3459344 3891762 4447728 5189016 7783524 10378032 15567048 31134096