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631004040 = 233352920147
BaseRepresentation
bin100101100111000…
…101101110001000
31121222100022211000
4211213011232020
52243014112130
6142340335000
721431305632
oct4547055610
91558308730
10631004040
112a4204747
121573a4460
13a0962894
145db37a52
153a5e4260
hex259c5b88

631004040 has 128 divisors (see below), whose sum is σ = 2175984000. Its totient is φ = 162457344.

The previous prime is 631004029. The next prime is 631004071. The reversal of 631004040 is 40400136.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 21247 + ... + 41393.

It is an arithmetic number, because the mean of its divisors is an integer number (16999875).

Almost surely, 2631004040 is an apocalyptic number.

631004040 is a gapful number since it is divisible by the number (60) 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 631004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087992000).

631004040 is an abundant number, since it is smaller than the sum of its proper divisors (1544979960).

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

631004040 is a wasteful number, since it uses less digits than its factorization.

631004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20196 (or 20186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 631004040 is about 25119.7937889625. The cubic root of 631004040 is about 857.7170566867.

Adding to 631004040 its reverse (40400136), we get a palindrome (671404176).

The spelling of 631004040 in words is "six hundred thirty-one million, four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 20147 31320 40294 60441 80588 100735 120882 161176 181323 201470 241764 302205 362646 402940 483528 543969 584263 604410 725292 805880 906615 1087938 1168526 1208820 1450584 1752789 1813230 2175876 2337052 2417640 2719845 2921315 3505578 3626460 4351752 4674104 5258367 5439690 5842630 7011156 7252920 8763945 10516734 10879380 11685260 14022312 15775101 17527890 21033468 21758760 23370520 26291835 31550202 35055780 42066936 52583670 63100404 70111560 78875505 105167340 126200808 157751010 210334680 315502020 631004040