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90430960 = 24537137223
BaseRepresentation
bin1010110001111…
…01110111110000
320022011100221211
411120331313300
5141122242320
612550125504
72145436054
oct530756760
9208140854
1090430960
1147056134
1226350894
1315973159
14c01dc64
157e1455a
hex563ddf0

90430960 has 80 divisors (see below), whose sum is σ = 218486016. Its totient is φ = 34781184.

The previous prime is 90430957. The next prime is 90430969. The reversal of 90430960 is 6903409.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90430969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405409 + ... + 405631.

Almost surely, 290430960 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 90430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109243008).

90430960 is an abundant number, since it is smaller than the sum of its proper divisors (128055056).

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

90430960 is a wasteful number, since it uses less digits than its factorization.

90430960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 90430960 is about 9509.5194410654. The cubic root of 90430960 is about 448.8546345495.

The spelling of 90430960 in words is "ninety million, four hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 137 148 185 223 274 296 370 446 548 592 685 740 892 1096 1115 1370 1480 1784 2192 2230 2740 2960 3568 4460 5069 5480 8251 8920 10138 10960 16502 17840 20276 25345 30551 33004 40552 41255 50690 61102 66008 81104 82510 101380 122204 132016 152755 165020 202760 244408 305510 330040 405520 488816 611020 660080 1130387 1222040 2260774 2444080 4521548 5651935 9043096 11303870 18086192 22607740 45215480 90430960