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1400413420 = 2257172325583
BaseRepresentation
bin101001101111000…
…1001110011101100
310121121010101001201
41103132021303230
510332001212140
6350543415244
746463213650
oct12336116354
93547111051
101400413420
1165955136a
12330bb4524
131941949c3
14d3dbca60
1582e2749a
hex53789cec

1400413420 has 96 divisors (see below), whose sum is σ = 3713568768. Its totient is φ = 432233472.

The previous prime is 1400413387. The next prime is 1400413447. The reversal of 1400413420 is 243140041.

It is a super-2 number, since 2×14004134202 = 3922315493832192800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41949 + ... + 67531.

It is an arithmetic number, because the mean of its divisors is an integer number (38683008).

Almost surely, 21400413420 is an apocalyptic number.

1400413420 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 1400413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856784384).

1400413420 is an abundant number, since it is smaller than the sum of its proper divisors (2313155348).

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

1400413420 is a wasteful number, since it uses less digits than its factorization.

1400413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25639 (or 25637 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1400413420 is about 37422.0980170808. The cubic root of 1400413420 is about 1118.7990475256.

Adding to 1400413420 its reverse (243140041), we get a palindrome (1643553461).

The spelling of 1400413420 in words is "one billion, four hundred million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 782 805 1190 1564 1610 1955 2380 2737 3220 3910 5474 7820 10948 13685 25583 27370 51166 54740 102332 127915 179081 255830 358162 434911 511660 588409 716324 869822 895405 1176818 1739644 1790810 2174555 2353636 2942045 3044377 3581620 4118863 4349110 5884090 6088754 8237726 8698220 10002953 11768180 12177508 15221885 16475452 20005906 20594315 30443770 40011812 41188630 50014765 60887540 70020671 82377260 100029530 140041342 200059060 280082684 350103355 700206710 1400413420