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1358056840 = 235710745329
BaseRepresentation
bin101000011110010…
…0100110110001000
310111122102102202111
41100330210312020
510240130304330
6342431512104
745440202250
oct12074446610
93448372674
101358056840
11637651228
1231a988634
1318848463a
14cc514960
157e35c32a
hex50f24d88

1358056840 has 64 divisors (see below), whose sum is σ = 3524860800. Its totient is φ = 461257728.

The previous prime is 1358056829. The next prime is 1358056853. The reversal of 1358056840 is 486508531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1358056793 and 1358056802.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7296 + ... + 52624.

It is an arithmetic number, because the mean of its divisors is an integer number (55075950).

Almost surely, 21358056840 is an apocalyptic number.

1358056840 is a gapful number since it is divisible by the number (10) 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 1358056840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762430400).

1358056840 is an abundant number, since it is smaller than the sum of its proper divisors (2166803960).

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

1358056840 is a wasteful number, since it uses less digits than its factorization.

1358056840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45454 (or 45450 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 1358056840 is about 36851.8227500350. The cubic root of 1358056840 is about 1107.4037310992.

The spelling of 1358056840 in words is "one billion, three hundred fifty-eight million, fifty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1498 2140 2996 3745 4280 5992 7490 14980 29960 45329 90658 181316 226645 317303 362632 453290 634606 906580 1269212 1586515 1813160 2538424 3173030 4850203 6346060 9700406 12692120 19400812 24251015 33951421 38801624 48502030 67902842 97004060 135805684 169757105 194008120 271611368 339514210 679028420 1358056840