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90992640 = 212351481
BaseRepresentation
bin1010110110001…
…11000000000000
320100012220102210
411123013000000
5141243231030
613010142120
72153265444
oct533070000
9210186383
1090992640
11473aa132
1226581940
1315b0b9cb
14c128824
157ec5bb0
hex56c7000

90992640 has 104 divisors (see below), whose sum is σ = 291337488. Its totient is φ = 24248320.

The previous prime is 90992639. The next prime is 90992701. The reversal of 90992640 is 4629909.

It is a congruent number.

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, 60700 + ... + 62180.

It is an arithmetic number, because the mean of its divisors is an integer number (2801322).

Almost surely, 290992640 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 90992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145668744).

90992640 is an abundant number, since it is smaller than the sum of its proper divisors (200344848).

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

90992640 is a wasteful number, since it uses less digits than its factorization.

90992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 90992640 is about 9539.0062375491. The cubic root of 90992640 is about 449.7820178823.

The spelling of 90992640 in words is "ninety million, nine hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1481 1536 1920 2048 2560 2962 3072 3840 4096 4443 5120 5924 6144 7405 7680 8886 10240 11848 12288 14810 15360 17772 20480 22215 23696 29620 30720 35544 44430 47392 59240 61440 71088 88860 94784 118480 142176 177720 189568 236960 284352 355440 379136 473920 568704 710880 758272 947840 1137408 1421760 1516544 1895680 2274816 2843520 3033088 3791360 4549632 5687040 6066176 7582720 9099264 11374080 15165440 18198528 22748160 30330880 45496320 90992640