Search a number
-
+
31476096 = 273289307
BaseRepresentation
bin111100000010…
…0100110000000
32012020011002100
41320010212000
531024213341
63042350400
7531354021
oct170044600
965204070
1031476096
1116849503
12a65b400
1366a0b12
144274c48
152b6b3b6
hex1e04980

31476096 has 96 divisors (see below), whose sum is σ = 91891800. Its totient is φ = 10340352.

The previous prime is 31476073. The next prime is 31476097. The reversal of 31476096 is 69067413.

31476096 is a `hidden beast` number, since 3 + 1 + 47 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 31476096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31476097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102375 + ... + 102681.

Almost surely, 231476096 is an apocalyptic number.

31476096 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 31476096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45945900).

31476096 is an abundant number, since it is smaller than the sum of its proper divisors (60415704).

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

31476096 is a wasteful number, since it uses less digits than its factorization.

31476096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 31476096 is about 5610.3561384283. The cubic root of 31476096 is about 315.7380727568.

The spelling of 31476096 in words is "thirty-one million, four hundred seventy-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 267 288 307 356 384 534 576 614 712 801 921 1068 1152 1228 1424 1602 1842 2136 2456 2763 2848 3204 3684 4272 4912 5526 5696 6408 7368 8544 9824 11052 11392 12816 14736 17088 19648 22104 25632 27323 29472 34176 39296 44208 51264 54646 58944 81969 88416 102528 109292 117888 163938 176832 218584 245907 327876 353664 437168 491814 655752 874336 983628 1311504 1748672 1967256 2623008 3497344 3934512 5246016 7869024 10492032 15738048 31476096