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90816312 = 23317416189
BaseRepresentation
bin1010110100110…
…11111100111000
320022212221120010
411122123330320
5141222110222
613002301520
72151632406
oct532337470
9208787503
1090816312
1147299704
12264b78a0
1315a79682
14c0c0476
157e8d80c
hex569bf38

90816312 has 128 divisors (see below), whose sum is σ = 253108800. Its totient is φ = 27033600.

The previous prime is 90816287. The next prime is 90816317. The reversal of 90816312 is 21361809.

It is a self number, because there is not a number n which added to its sum of digits gives 90816312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90816317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020364 + ... + 1020452.

Almost surely, 290816312 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 90816312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126554400).

90816312 is an abundant number, since it is smaller than the sum of its proper divisors (162292488).

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

90816312 is a wasteful number, since it uses less digits than its factorization.

90816312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 90816312 is about 9529.7592834237. The cubic root of 90816312 is about 449.4912967572.

The spelling of 90816312 in words is "ninety million, eight hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 61 68 82 89 102 122 123 136 164 178 183 204 244 246 267 328 356 366 408 488 492 534 697 712 732 984 1037 1068 1394 1464 1513 2074 2091 2136 2501 2788 3026 3111 3649 4148 4182 4539 5002 5429 5576 6052 6222 7298 7503 8296 8364 9078 10004 10858 10947 12104 12444 14596 15006 16287 16728 18156 20008 21716 21894 24888 29192 30012 32574 36312 42517 43432 43788 60024 62033 65148 85034 87576 92293 124066 127551 130296 170068 184586 186099 222589 248132 255102 276879 340136 369172 372198 445178 496264 510204 553758 667767 738344 744396 890356 1020408 1107516 1335534 1488792 1780712 2215032 2671068 3784013 5342136 7568026 11352039 15136052 22704078 30272104 45408156 90816312