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1396809440 = 255131494507
BaseRepresentation
bin101001101000001…
…1001111011100000
310121100100021022222
41103100121323200
510330040400230
6350334250212
746420453505
oct12320317340
93540307288
101396809440
1165750a674
1232b956968
13193502480
14d37214ac
15829646e5
hex53419ee0

1396809440 has 96 divisors (see below), whose sum is σ = 3578450400. Its totient is φ = 512169984.

The previous prime is 1396809433. The next prime is 1396809461. The reversal of 1396809440 is 449086931.

It is a super-2 number, since 2×13968094402 = 3902153223346227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1396809391 and 1396809400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307667 + ... + 312173.

It is an arithmetic number, because the mean of its divisors is an integer number (37275525).

Almost surely, 21396809440 is an apocalyptic number.

1396809440 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 1396809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789225200).

1396809440 is an abundant number, since it is smaller than the sum of its proper divisors (2181640960).

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

1396809440 is a wasteful number, since it uses less digits than its factorization.

1396809440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 1396809440 is about 37373.9138972626. The cubic root of 1396809440 is about 1117.8384756454.

The spelling of 1396809440 in words is "one billion, three hundred ninety-six million, eight hundred nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 149 160 208 260 298 416 520 596 745 1040 1192 1490 1937 2080 2384 2980 3874 4507 4768 5960 7748 9014 9685 11920 15496 18028 19370 22535 23840 30992 36056 38740 45070 58591 61984 72112 77480 90140 117182 144224 154960 180280 234364 292955 309920 360560 468728 585910 671543 721120 937456 1171820 1343086 1874912 2343640 2686172 3357715 4687280 5372344 6715430 8730059 9374560 10744688 13430860 17460118 21489376 26861720 34920236 43650295 53723440 69840472 87300590 107446880 139680944 174601180 279361888 349202360 698404720 1396809440