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631401420 = 2235131722801
BaseRepresentation
bin100101101000100…
…110101111001100
31122000002111220210
4211220212233030
52243114321140
6142353042420
721434552316
oct4550465714
91560074823
10631401420
112a4456261
12157556410
13a0a71710
145dbdc7b6
153a671d80
hex25a26bcc

631401420 has 144 divisors (see below), whose sum is σ = 2023223328. Its totient is φ = 146227200.

The previous prime is 631401413. The next prime is 631401439. The reversal of 631401420 is 24104136.

631401420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224020 + ... + 226820.

It is an arithmetic number, because the mean of its divisors is an integer number (14050162).

Almost surely, 2631401420 is an apocalyptic number.

631401420 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 631401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011611664).

631401420 is an abundant number, since it is smaller than the sum of its proper divisors (1391821908).

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

631401420 is a wasteful number, since it uses less digits than its factorization.

631401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 631401420 is about 25127.7022427440. The cubic root of 631401420 is about 857.8970703678.

Adding to 631401420 its reverse (24104136), we get a palindrome (655505556).

The spelling of 631401420 in words is "six hundred thirty-one million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 289 340 390 442 510 578 663 780 867 884 1020 1105 1156 1326 1445 1734 2210 2652 2801 2890 3315 3468 3757 4335 4420 5602 5780 6630 7514 8403 8670 11204 11271 13260 14005 15028 16806 17340 18785 22542 28010 33612 36413 37570 42015 45084 47617 56020 56355 72826 75140 84030 95234 109239 112710 142851 145652 168060 182065 190468 218478 225420 238085 285702 364130 436956 476170 546195 571404 619021 714255 728260 809489 952340 1092390 1238042 1428510 1618978 1857063 2184780 2428467 2476084 2857020 3095105 3237956 3714126 4047445 4856934 6190210 7428252 8094890 9285315 9713868 10523357 12142335 12380420 16189780 18570630 21046714 24284670 31570071 37141260 42093428 48569340 52616785 63140142 105233570 126280284 157850355 210467140 315700710 631401420