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90939800 = 23527173821
BaseRepresentation
bin1010110101110…
…10000110011000
320100010012221202
411122322012120
5141240033200
613005053332
72152655420
oct532720630
9210105852
1090939800
1147373466
1226557248
1315ac0943
14c113480
157eb51d5
hex56ba198

90939800 has 96 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 29337600.

The previous prime is 90939799. The next prime is 90939803. The reversal of 90939800 is 893909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90939803) 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 23 ways as a sum of consecutive naturals, for example, 21890 + ... + 25710.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 290939800 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 90939800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

90939800 is an abundant number, since it is smaller than the sum of its proper divisors (164981320).

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

90939800 is a wasteful number, since it uses less digits than its factorization.

90939800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 90939800 is about 9536.2361547940. The cubic root of 90939800 is about 449.6949372724.

The spelling of 90939800 in words is "ninety million, nine hundred thirty-nine thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 3821 4760 5950 7642 11900 15284 19105 23800 26747 30568 38210 53494 64957 76420 95525 106988 129914 133735 152840 191050 213976 259828 267470 324785 382100 454699 519656 534940 649570 668675 764200 909398 1069880 1299140 1337350 1623925 1818796 2273495 2598280 2674700 3247850 3637592 4546990 5349400 6495700 9093980 11367475 12991400 18187960 22734950 45469900 90939800