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290055636 = 2232132712287
BaseRepresentation
bin10001010010011…
…110010111010100
3202012210100112100
4101102132113110
51043223240021
644440522100
710121301153
oct2122362724
9665710470
10290055636
11139802102
1281180330
1348128670
142a74559a
151a6e7626
hex1149e5d4

290055636 has 72 divisors (see below), whose sum is σ = 792856064. Its totient is φ = 88879680.

The previous prime is 290055629. The next prime is 290055637. The reversal of 290055636 is 636550092.

290055636 is a `hidden beast` number, since 2 + 90 + 0 + 5 + 563 + 6 = 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 290055636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290055637) 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, 125685 + ... + 127971.

Almost surely, 2290055636 is an apocalyptic number.

290055636 is a gapful number since it is divisible by the number (26) 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 290055636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396428032).

290055636 is an abundant number, since it is smaller than the sum of its proper divisors (502800428).

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

290055636 is a wasteful number, since it uses less digits than its factorization.

290055636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 290055636 is about 17031.0198167931. The cubic root of 290055636 is about 661.9529208981.

The spelling of 290055636 in words is "two hundred ninety million, fifty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 271 468 542 813 1084 1626 2287 2439 3252 3523 4574 4878 6861 7046 9148 9756 10569 13722 14092 20583 21138 27444 29731 31707 41166 42276 59462 63414 82332 89193 118924 126828 178386 267579 356772 535158 619777 1070316 1239554 1859331 2479108 3718662 5577993 7437324 8057101 11155986 16114202 22311972 24171303 32228404 48342606 72513909 96685212 145027818 290055636