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90761216 = 211713487
BaseRepresentation
bin1010110100011…
…10100000000000
320022210010222112
411122032200000
5141213324331
613001154452
72151312650
oct532164000
9208703875
1090761216
1147261277
122648ba28
1315a5a580
14c0a8360
157e7c32b
hex568e800

90761216 has 96 divisors (see below), whose sum is σ = 223816320. Its totient is φ = 35831808.

The previous prime is 90761201. The next prime is 90761227. The reversal of 90761216 is 61216709.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186125 + ... + 186611.

It is an arithmetic number, because the mean of its divisors is an integer number (2331420).

Almost surely, 290761216 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 90761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111908160).

90761216 is an abundant number, since it is smaller than the sum of its proper divisors (133055104).

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

90761216 is a wasteful number, since it uses less digits than its factorization.

90761216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 90761216 is about 9526.8681107697. The cubic root of 90761216 is about 449.4003799686.

The spelling of 90761216 in words is "ninety million, seven hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 487 512 728 832 896 974 1024 1456 1664 1792 1948 2048 2912 3328 3409 3584 3896 5824 6331 6656 6818 7168 7792 11648 12662 13312 13636 14336 15584 23296 25324 26624 27272 31168 44317 46592 50648 54544 62336 88634 93184 101296 109088 124672 177268 186368 202592 218176 249344 354536 405184 436352 498688 709072 810368 872704 997376 1418144 1620736 1745408 2836288 3241472 3490816 5672576 6482944 6981632 11345152 12965888 22690304 45380608 90761216