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1631037140 = 2251929891663
BaseRepresentation
bin110000100110111…
…1010011011010100
311012200002021022222
41201031322123110
511320021142030
6425502441512
755263405215
oct14115723324
94180067288
101631037140
11767750387
12396293298
131ccbb1b45
1411689340c
15982d03e5
hex6137a6d4

1631037140 has 96 divisors (see below), whose sum is σ = 3773952000. Its totient is φ = 589704192.

The previous prime is 1631037127. The next prime is 1631037263. The reversal of 1631037140 is 417301361.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979949 + ... + 981611.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 21631037140 is an apocalyptic number.

1631037140 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 1631037140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976000).

1631037140 is an abundant number, since it is smaller than the sum of its proper divisors (2142914860).

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

1631037140 is a wasteful number, since it uses less digits than its factorization.

1631037140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 1631037140 is about 40386.1008268934. The cubic root of 1631037140 is about 1177.1214765332.

The spelling of 1631037140 in words is "one billion, six hundred thirty-one million, thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 89 95 116 145 178 190 290 356 380 445 551 580 890 1102 1663 1691 1780 2204 2581 2755 3326 3382 5162 5510 6652 6764 8315 8455 10324 11020 12905 16630 16910 25810 31597 33260 33820 48227 49039 51620 63194 96454 98078 126388 148007 157985 192908 196156 241135 245195 296014 315970 482270 490390 592028 631940 740035 916313 964540 980780 1480070 1832626 2812133 2960140 3665252 4292203 4581565 5624266 8584406 9163130 11248532 14060665 17168812 18326260 21461015 28121330 42922030 56242660 81551857 85844060 163103714 326207428 407759285 815518570 1631037140