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1051399400 = 235237473023
BaseRepresentation
bin111110101010110…
…001010011101000
32201021101121211112
4332222301103220
54123124240100
6252155045452
735024514242
oct7652612350
92637347745
101051399400
1149a53aa27
12254140888
13139a9552c
149d8cb092
1562485b35
hex3eab14e8

1051399400 has 96 divisors (see below), whose sum is σ = 2564835840. Its totient is φ = 400354560.

The previous prime is 1051399381. The next prime is 1051399421. The reversal of 1051399400 is 49931501.

It is a super-2 number, since 2×10513994002 = 2210881396640720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346289 + ... + 349311.

It is an arithmetic number, because the mean of its divisors is an integer number (26717040).

Almost surely, 21051399400 is an apocalyptic number.

1051399400 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 1051399400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

1051399400 is an abundant number, since it is smaller than the sum of its proper divisors (1513436440).

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

1051399400 is a wasteful number, since it uses less digits than its factorization.

1051399400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 1051399400 is about 32425.2895129712. The cubic root of 1051399400 is about 1016.8476944805.

The spelling of 1051399400 in words is "one billion, fifty-one million, three hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 47 50 74 94 100 148 185 188 200 235 296 370 376 470 740 925 940 1175 1480 1739 1850 1880 2350 3023 3478 3700 4700 6046 6956 7400 8695 9400 12092 13912 15115 17390 24184 30230 34780 43475 60460 69560 75575 86950 111851 120920 142081 151150 173900 223702 284162 302300 347800 447404 559255 568324 604600 710405 894808 1118510 1136648 1420810 2237020 2796275 2841620 3552025 4474040 5256997 5592550 5683240 7104050 10513994 11185100 14208100 21027988 22370200 26284985 28416200 42055976 52569970 105139940 131424925 210279880 262849850 525699700 1051399400