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90334720 = 2957712
BaseRepresentation
bin1010110001001…
…10011000000000
320021222110221101
411120212120000
5141111202340
612544104144
72144555350
oct530463000
9207873841
1090334720
1146a9a8a3
1226305054
131593b3c8
14bdd6b60
157de5c9a
hex5626600

90334720 has 120 divisors (see below), whose sum is σ = 251068752. Its totient is φ = 30535680.

The previous prime is 90334711. The next prime is 90334757. The reversal of 90334720 is 2743309.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272285 + ... + 1272355.

Almost surely, 290334720 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 90334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125534376).

90334720 is an abundant number, since it is smaller than the sum of its proper divisors (160734032).

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

90334720 is an frugal number, since it uses more digits than its factorization.

90334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 90334720 is about 9504.4579014271. The cubic root of 90334720 is about 448.6953487499.

The spelling of 90334720 in words is "ninety million, three hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 128 140 142 160 224 256 280 284 320 355 448 497 512 560 568 640 710 896 994 1120 1136 1280 1420 1792 1988 2240 2272 2485 2560 2840 3584 3976 4480 4544 4970 5041 5680 7952 8960 9088 9940 10082 11360 15904 17920 18176 19880 20164 22720 25205 31808 35287 36352 39760 40328 45440 50410 63616 70574 79520 80656 90880 100820 127232 141148 159040 161312 176435 181760 201640 254464 282296 318080 322624 352870 403280 564592 636160 645248 705740 806560 1129184 1272320 1290496 1411480 1613120 2258368 2580992 2822960 3226240 4516736 5645920 6452480 9033472 11291840 12904960 18066944 22583680 45167360 90334720