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1379470608 = 243329149739
BaseRepresentation
bin101001000111001…
…0000110100010000
310120010201100221000
41102032100310100
510311121024413
6344514502000
746120210125
oct12216206420
93503640830
101379470608
1164874775a
12325b94900
1318ca413c9
14d12ca74c
158118c073
hex52390d10

1379470608 has 160 divisors (see below), whose sum is σ = 4129200000. Its totient is φ = 440391168.

The previous prime is 1379470567. The next prime is 1379470613. The reversal of 1379470608 is 8060749731.

1379470608 is a `hidden beast` number, since 1 + 37 + 9 + 4 + 7 + 0 + 608 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866303 + ... + 1867041.

It is an arithmetic number, because the mean of its divisors is an integer number (25807500).

Almost surely, 21379470608 is an apocalyptic number.

1379470608 is a gapful number since it is divisible by the number (18) 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 1379470608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064600000).

1379470608 is an abundant number, since it is smaller than the sum of its proper divisors (2749729392).

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

1379470608 is a wasteful number, since it uses less digits than its factorization.

1379470608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1379470608 is about 37141.2251817303. The cubic root of 1379470608 is about 1113.1938982592.

The spelling of 1379470608 in words is "one billion, three hundred seventy-nine million, four hundred seventy thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 149 174 216 232 261 298 348 432 447 464 522 596 696 739 783 894 1044 1192 1341 1392 1478 1566 1788 2088 2217 2384 2682 2956 3132 3576 4023 4176 4321 4434 5364 5912 6264 6651 7152 8046 8642 8868 10728 11824 12528 12963 13302 16092 17284 17736 19953 21431 21456 25926 26604 32184 34568 35472 38889 39906 42862 51852 53208 64293 64368 69136 77778 79812 85724 103704 106416 110111 116667 128586 155556 159624 171448 192879 207408 220222 233334 257172 311112 319248 330333 342896 385758 440444 466668 514344 578637 622224 660666 771516 880888 933336 990999 1028688 1157274 1321332 1543032 1761776 1866672 1981998 2314548 2642664 2972997 3086064 3193219 3963996 4629096 5285328 5945994 6386438 7927992 9258192 9579657 11891988 12772876 15855984 19159314 23783976 25545752 28738971 38318628 47567952 51091504 57477942 76637256 86216913 114955884 153274512 172433826 229911768 344867652 459823536 689735304 1379470608