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73814040 = 23325379541
BaseRepresentation
bin1000110011001…
…01000000011000
312010220010211100
410121211000120
5122344022130
611154031400
71554260166
oct431450030
9163803740
1073814040
1138736643
1220878560
13123a5861
149b36236
156730c60
hex4665018

73814040 has 96 divisors (see below), whose sum is σ = 240973200. Its totient is φ = 19595520.

The previous prime is 73814033. The next prime is 73814099. The reversal of 73814040 is 4041837.

It is a super-2 number, since 2×738140402 = 10897025002243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73813995 and 73814013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136170 + ... + 136710.

Almost surely, 273814040 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 73814040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120486600).

73814040 is an abundant number, since it is smaller than the sum of its proper divisors (167159160).

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

73814040 is a wasteful number, since it uses less digits than its factorization.

73814040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 73814040 is about 8591.5097625505. The cubic root of 73814040 is about 419.4816735161.

Adding to 73814040 its reverse (4041837), we get a palindrome (77855877).

The spelling of 73814040 in words is "seventy-three million, eight hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 379 541 758 1082 1137 1516 1623 1895 2164 2274 2705 3032 3246 3411 3790 4328 4548 4869 5410 5685 6492 6822 7580 8115 9096 9738 10820 11370 12984 13644 15160 16230 17055 19476 21640 22740 24345 27288 32460 34110 38952 45480 48690 64920 68220 97380 136440 194760 205039 410078 615117 820156 1025195 1230234 1640312 1845351 2050390 2460468 3075585 3690702 4100780 4920936 6151170 7381404 8201560 9226755 12302340 14762808 18453510 24604680 36907020 73814040