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974980890 = 2325132273671
BaseRepresentation
bin111010000111010…
…000011100011010
32111221121011100100
4322013100130122
53444043342030
6240425120230
733106125612
oct7207203432
92457534310
10974980890
11460395634
12232629076
13126cba390
14936b7a42
155a8dd360
hex3a1d071a

974980890 has 96 divisors (see below), whose sum is σ = 2742719616. Its totient is φ = 238872960.

The previous prime is 974980883. The next prime is 974980891. The reversal of 974980890 is 98089479.

It is not an unprimeable number, because it can be changed into a prime (974980891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263755 + ... + 267425.

It is an arithmetic number, because the mean of its divisors is an integer number (28569996).

Almost surely, 2974980890 is an apocalyptic number.

974980890 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 974980890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371359808).

974980890 is an abundant number, since it is smaller than the sum of its proper divisors (1767738726).

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

974980890 is a wasteful number, since it uses less digits than its factorization.

974980890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 974980890 is about 31224.6839855906. The cubic root of 974980890 is about 991.5897628693.

The spelling of 974980890 in words is "nine hundred seventy-four million, nine hundred eighty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 227 234 390 454 585 681 1135 1170 1362 2043 2270 2951 3405 3671 4086 5902 6810 7342 8853 10215 11013 14755 17706 18355 20430 22026 26559 29510 33039 36710 44265 47723 53118 55065 66078 88530 95446 110130 132795 143169 165195 238615 265590 286338 330390 429507 477230 715845 833317 859014 1431690 1666634 2147535 2499951 4166585 4295070 4999902 7499853 8333170 10833121 12499755 14999706 21666242 24999510 32499363 37499265 54165605 64998726 74998530 97498089 108331210 162496815 194996178 324993630 487490445 974980890