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99623940 = 223513337379
BaseRepresentation
bin1011111000000…
…10010000000100
320221110102100120
411330002100010
5201000431230
613515141540
72316534543
oct574022004
9227412316
1099623940
1151264a39
12294448b0
13178415a0
14d33415a
158b2d310
hex5f02404

99623940 has 96 divisors (see below), whose sum is σ = 302090880. Its totient is φ = 24385536.

The previous prime is 99623939. The next prime is 99623963. The reversal of 99623940 is 4932699.

It is a super-2 number, since 2×996239402 = 19849858842247200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99623892 and 99623901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262671 + ... + 263049.

It is an arithmetic number, because the mean of its divisors is an integer number (3146780).

Almost surely, 299623940 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 99623940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151045440).

99623940 is an abundant number, since it is smaller than the sum of its proper divisors (202466940).

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

99623940 is a wasteful number, since it uses less digits than its factorization.

99623940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 99623940 is about 9981.1792890420. The cubic root of 99623940 is about 463.5763138473.

The spelling of 99623940 in words is "ninety-nine million, six hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 337 379 390 674 758 780 1011 1137 1348 1516 1685 1895 2022 2274 3370 3790 4044 4381 4548 4927 5055 5685 6740 7580 8762 9854 10110 11370 13143 14781 17524 19708 20220 21905 22740 24635 26286 29562 43810 49270 52572 59124 65715 73905 87620 98540 127723 131430 147810 255446 262860 295620 383169 510892 638615 766338 1277230 1532676 1660399 1915845 2554460 3320798 3831690 4981197 6641596 7663380 8301995 9962394 16603990 19924788 24905985 33207980 49811970 99623940