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97919940 = 223559139199
BaseRepresentation
bin1011101011000…
…10001111000100
320211020211220110
411311202033010
5200031414230
613414433020
72266206606
oct565421704
9224224813
1097919940
1150300778
1228962770
1317395ac1
14d00d176
1588e34b0
hex5d623c4

97919940 has 96 divisors (see below), whose sum is σ = 282240000. Its totient is φ = 25356672.

The previous prime is 97919933. The next prime is 97919959. The reversal of 97919940 is 4991979.

It is a self number, because there is not a number n which added to its sum of digits gives 97919940.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491961 + ... + 492159.

It is an arithmetic number, because the mean of its divisors is an integer number (2940000).

Almost surely, 297919940 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 97919940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120000).

97919940 is an abundant number, since it is smaller than the sum of its proper divisors (184320060).

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

97919940 is a wasteful number, since it uses less digits than its factorization.

97919940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 48.

The square root of 97919940 is about 9895.4504697866. The cubic root of 97919940 is about 460.9180468626.

The spelling of 97919940 in words is "ninety-seven million, nine hundred nineteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 139 177 199 236 278 295 354 398 417 556 590 597 695 708 796 834 885 995 1180 1194 1390 1668 1770 1990 2085 2388 2780 2985 3540 3980 4170 5970 8201 8340 11741 11940 16402 23482 24603 27661 32804 35223 41005 46964 49206 55322 58705 70446 82010 82983 98412 110644 117410 123015 138305 140892 164020 165966 176115 234820 246030 276610 331932 352230 414915 492060 553220 704460 829830 1631999 1659660 3263998 4895997 6527996 8159995 9791994 16319990 19583988 24479985 32639980 48959970 97919940