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70740432 = 24337149157
BaseRepresentation
bin1000011011101…
…10100111010000
311221002222122000
410031312213100
5121102143212
611004114000
71516166220
oct415664720
9157088560
1070740432
1136a27374
121b835900
131186a859
149576080
1563251dc
hex43769d0

70740432 has 160 divisors (see below), whose sum is σ = 235104000. Its totient is φ = 19948032.

The previous prime is 70740413. The next prime is 70740437. The reversal of 70740432 is 23404707.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 70740396 and 70740405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70740437) by changing a digit.

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, 450498 + ... + 450654.

It is an arithmetic number, because the mean of its divisors is an integer number (1469400).

Almost surely, 270740432 is an apocalyptic number.

70740432 is a gapful number since it is divisible by the number (72) 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 70740432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117552000).

70740432 is an abundant number, since it is smaller than the sum of its proper divisors (164363568).

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

70740432 is a wasteful number, since it uses less digits than its factorization.

70740432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 70740432 is about 8410.7331428360. The cubic root of 70740432 is about 413.5765466512.

The spelling of 70740432 in words is "seventy million, seven hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 149 157 168 189 216 252 298 314 336 378 432 447 471 504 596 628 756 894 942 1008 1043 1099 1192 1256 1341 1413 1512 1788 1884 2086 2198 2384 2512 2682 2826 3024 3129 3297 3576 3768 4023 4172 4239 4396 5364 5652 6258 6594 7152 7536 8046 8344 8478 8792 9387 9891 10728 11304 12516 13188 16092 16688 16956 17584 18774 19782 21456 22608 23393 25032 26376 28161 29673 32184 33912 37548 39564 46786 50064 52752 56322 59346 64368 67824 70179 75096 79128 93572 112644 118692 140358 150192 158256 163751 187144 210537 225288 237384 280716 327502 374288 421074 450576 474768 491253 561432 631611 655004 842148 982506 1122864 1263222 1310008 1473759 1684296 1965012 2526444 2620016 2947518 3368592 3930024 4421277 5052888 5895036 7860048 8842554 10105776 11790072 17685108 23580144 35370216 70740432