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1409459136 = 26323213877
BaseRepresentation
bin101010000000010…
…1010001111000000
310122020010221110020
41110000222033000
510341310143021
6351505333440
746633130211
oct12400521700
93566127406
101409459136
1166366a568
12334037280
131960110b7
14d5295408
1583b127c6
hex5402a3c0

1409459136 has 84 divisors (see below), whose sum is σ = 3898663272. Its totient is φ = 449360384.

The previous prime is 1409459123. The next prime is 1409459287. The reversal of 1409459136 is 6319549041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94630 + ... + 108506.

It is an arithmetic number, because the mean of its divisors is an integer number (46412658).

Almost surely, 21409459136 is an apocalyptic number.

1409459136 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 1409459136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949331636).

1409459136 is an abundant number, since it is smaller than the sum of its proper divisors (2489204136).

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

1409459136 is a wasteful number, since it uses less digits than its factorization.

1409459136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13938 (or 13905 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1409459136 is about 37542.7640964274. The cubic root of 1409459136 is about 1121.2027725013.

The spelling of 1409459136 in words is "one billion, four hundred nine million, four hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 529 552 736 1058 1104 1472 1587 2116 2208 3174 4232 4416 6348 8464 12696 13877 16928 25392 27754 33856 41631 50784 55508 83262 101568 111016 166524 222032 319171 333048 444064 638342 666096 888128 957513 1276684 1332192 1915026 2553368 2664384 3830052 5106736 7340933 7660104 10213472 14681866 15320208 20426944 22022799 29363732 30640416 44045598 58727464 61280832 88091196 117454928 176182392 234909856 352364784 469819712 704729568 1409459136