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97874040 = 233511531399
BaseRepresentation
bin1011101010101…
…11000001111000
320211011111221110
411311113001320
5200023432130
613413440320
72265626025
oct565270170
9224144843
1097874040
115027a240
12289400a0
131737ac44
14cdda54c
1588d4ab0
hex5d57078

97874040 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 23262720.

The previous prime is 97874017. The next prime is 97874047. The reversal of 97874040 is 4047879.

It is a self number, because there is not a number n which added to its sum of digits gives 97874040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97874047) 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, 69261 + ... + 70659.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 297874040 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 97874040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

97874040 is an abundant number, since it is smaller than the sum of its proper divisors (228717960).

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

97874040 is a wasteful number, since it uses less digits than its factorization.

97874040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 97874040 is about 9893.1309503109. The cubic root of 97874040 is about 460.8460171179.

The spelling of 97874040 in words is "ninety-seven million, eight hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 795 1060 1166 1272 1320 1399 1590 1749 2120 2332 2798 2915 3180 3498 4197 4664 5596 5830 6360 6995 6996 8394 8745 11192 11660 13990 13992 15389 16788 17490 20985 23320 27980 30778 33576 34980 41970 46167 55960 61556 69960 74147 76945 83940 92334 123112 148294 153890 167880 184668 222441 230835 296588 307780 369336 370735 444882 461670 593176 615560 741470 815617 889764 923340 1112205 1482940 1631234 1779528 1846680 2224410 2446851 2965880 3262468 4078085 4448820 4893702 6524936 8156170 8897640 9787404 12234255 16312340 19574808 24468510 32624680 48937020 97874040