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1406685536 = 25172374111
BaseRepresentation
bin101001111011000…
…0101000101100000
310122000221000210022
41103312011011200
510340102414121
6351330053012
746600426004
oct12366050540
93560830708
101406685536
11662045733
1233311a168
1319557c809
14d4b72704
1583765aab
hex53d85160

1406685536 has 72 divisors (see below), whose sum is σ = 3022147296. Its totient is φ = 643921920.

The previous prime is 1406685529. The next prime is 1406685551. The reversal of 1406685536 is 6355866041.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 340121 + ... + 344231.

It is an arithmetic number, because the mean of its divisors is an integer number (41974268).

Almost surely, 21406685536 is an apocalyptic number.

1406685536 is a gapful number since it is divisible by the number (16) 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 1406685536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511073648).

1406685536 is an abundant number, since it is smaller than the sum of its proper divisors (1615461760).

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

1406685536 is a wasteful number, since it uses less digits than its factorization.

1406685536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 1406685536 is about 37505.8066970969. The cubic root of 1406685536 is about 1120.4668376989.

The spelling of 1406685536 in words is "one billion, four hundred six million, six hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 289 296 544 578 592 629 1156 1184 1258 2312 2516 4111 4624 5032 8222 9248 10064 10693 16444 20128 21386 32888 42772 65776 69887 85544 131552 139774 152107 171088 279548 304214 342176 559096 608428 1118192 1188079 1216856 2236384 2376158 2433712 2585819 4752316 4867424 5171638 9504632 10343276 19009264 20686552 38018528 41373104 43958923 82746208 87917846 175835692 351671384 703342768 1406685536