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690054156 = 2232115413221
BaseRepresentation
bin101001001000010…
…110010000001100
31210002110101100100
4221020112100030
52403123213111
6152250131100
723046235461
oct5110262014
91702411310
10690054156
113245769a0
12173120a90
13acc6938c
1467909668
15408aa756
hex2921640c

690054156 has 72 divisors (see below), whose sum is σ = 1906985808. Its totient is φ = 208656000.

The previous prime is 690054151. The next prime is 690054193. The reversal of 690054156 is 651450096.

690054156 is a `hidden beast` number, since 69 + 0 + 0 + 541 + 56 = 666.

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 690054156.

It is not an unprimeable number, because it can be changed into a prime (690054151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212626 + ... + 215846.

It is an arithmetic number, because the mean of its divisors is an integer number (26485914).

Almost surely, 2690054156 is an apocalyptic number.

690054156 is a gapful number since it is divisible by the number (66) 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 690054156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953492904).

690054156 is an abundant number, since it is smaller than the sum of its proper divisors (1216931652).

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

690054156 is a wasteful number, since it uses less digits than its factorization.

690054156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 690054156 is about 26268.8818947438. The cubic root of 690054156 is about 883.6787101149.

The spelling of 690054156 in words is "six hundred ninety million, fifty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 541 1082 1623 2164 3221 3246 4869 5951 6442 6492 9663 9738 11902 12884 17853 19326 19476 23804 28989 35431 35706 38652 53559 57978 70862 71412 106293 107118 115956 141724 212586 214236 318879 425172 637758 1275516 1742561 3485122 5227683 6970244 10455366 15683049 19168171 20910732 31366098 38336342 57504513 62732196 76672684 115009026 172513539 230018052 345027078 690054156