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78391040 = 285713673
BaseRepresentation
bin1001010110000…
…10011100000000
312110111200021212
410223002130000
5130032003130
611440105252
71641212210
oct453023400
9173450255
1078391040
1140282392
1222305228
1313318c40
14a5a8240
156d36e95
hex4ac2700

78391040 has 144 divisors (see below), whose sum is σ = 231446208. Its totient is φ = 24772608.

The previous prime is 78391009. The next prime is 78391043. The reversal of 78391040 is 4019387.

It is a super-2 number, since 2×783910402 = 12290310304563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 78390988 and 78391006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78391043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116144 + ... + 116816.

Almost surely, 278391040 is an apocalyptic number.

78391040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115723104).

78391040 is an abundant number, since it is smaller than the sum of its proper divisors (153055168).

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

78391040 is a wasteful number, since it uses less digits than its factorization.

78391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 78391040 is about 8853.8714695889. The cubic root of 78391040 is about 427.9786870337.

The spelling of 78391040 in words is "seventy-eight million, three hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 520 560 640 673 728 832 896 910 1040 1120 1280 1346 1456 1664 1792 1820 2080 2240 2692 2912 3328 3365 3640 4160 4480 4711 5384 5824 6730 7280 8320 8749 8960 9422 10768 11648 13460 14560 16640 17498 18844 21536 23296 23555 26920 29120 34996 37688 43072 43745 47110 53840 58240 61243 69992 75376 86144 87490 94220 107680 116480 122486 139984 150752 172288 174980 188440 215360 244972 279968 301504 306215 349960 376880 430720 489944 559936 603008 612430 699920 753760 861440 979888 1119872 1206016 1224860 1399840 1507520 1959776 2239744 2449720 2799680 3015040 3919552 4899440 5599360 6030080 7839104 9798880 11198720 15678208 19597760 39195520 78391040