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91000020 = 223537179229
BaseRepresentation
bin1010110110010…
…00110011010100
320100020021120010
411123020303110
5141244000040
613010240220
72153326116
oct533106324
9210207503
1091000020
1147404731
1226586070
1315b12187
14c12b3b6
157ec7e80
hex56c8cd4

91000020 has 96 divisors (see below), whose sum is σ = 264297600. Its totient is φ = 23376384.

The previous prime is 91000009. The next prime is 91000027. The reversal of 91000020 is 2000019.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397266 + ... + 397494.

It is an arithmetic number, because the mean of its divisors is an integer number (2753100).

Almost surely, 291000020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132148800).

91000020 is an abundant number, since it is smaller than the sum of its proper divisors (173297580).

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

91000020 is a wasteful number, since it uses less digits than its factorization.

91000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 91000020 is about 9539.3930624542. The cubic root of 91000020 is about 449.7941774795.

Adding to 91000020 its reverse (2000019), we get a palindrome (93000039).

The spelling of 91000020 in words is "ninety-one million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 179 185 222 229 358 370 444 458 537 555 687 716 740 895 916 1074 1110 1145 1374 1790 2148 2220 2290 2685 2748 3435 3580 4580 5370 6623 6870 8473 10740 13246 13740 16946 19869 25419 26492 33115 33892 39738 40991 42365 50838 66230 79476 81982 84730 99345 101676 122973 127095 132460 163964 169460 198690 204955 245946 254190 397380 409910 491892 508380 614865 819820 1229730 1516667 2459460 3033334 4550001 6066668 7583335 9100002 15166670 18200004 22750005 30333340 45500010 91000020