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90398970 = 23352314557
BaseRepresentation
bin1010110001101…
…10000011111010
320022002202002000
411120312003322
5141120231340
612545321430
72145243564
oct530660372
9208082060
1090398970
11470340a2
1226336276
131596171c
14c012334
157e09d30
hex56360fa

90398970 has 64 divisors (see below), whose sum is σ = 251562240. Its totient is φ = 23056704.

The previous prime is 90398951. The next prime is 90398977. The reversal of 90398970 is 7989309.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90398977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069 + ... + 13488.

It is an arithmetic number, because the mean of its divisors is an integer number (3930660).

Almost surely, 290398970 is an apocalyptic number.

90398970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90398970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125781120).

90398970 is an abundant number, since it is smaller than the sum of its proper divisors (161163270).

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

90398970 is a wasteful number, since it uses less digits than its factorization.

90398970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14596 (or 14590 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 90398970 is about 9507.8372935174. The cubic root of 90398970 is about 448.8017007857.

The spelling of 90398970 in words is "ninety million, three hundred ninety-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 14557 29114 43671 72785 87342 131013 145570 218355 262026 334811 393039 436710 655065 669622 786078 1004433 1310130 1674055 1965195 2008866 3013299 3348110 3930390 5022165 6026598 9039897 10044330 15066495 18079794 30132990 45199485 90398970