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1401680352 = 253234431433
BaseRepresentation
bin101001110001011…
…1111000111100000
310121200111201222010
41103202333013200
510332312232402
6351030512520
746510041432
oct12342770740
93550451863
101401680352
1165a237216
12331505740
13194519577
14d422c652
15830c7a6c
hex538bf1e0

1401680352 has 96 divisors (see below), whose sum is σ = 3850737408. Its totient is φ = 445592576.

The previous prime is 1401680333. The next prime is 1401680383. The reversal of 1401680352 is 2530861041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977428 + ... + 978860.

It is an arithmetic number, because the mean of its divisors is an integer number (40111848).

Almost surely, 21401680352 is an apocalyptic number.

1401680352 is a gapful number since it is divisible by the number (12) 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 1401680352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925368704).

1401680352 is an abundant number, since it is smaller than the sum of its proper divisors (2449057056).

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

1401680352 is a wasteful number, since it uses less digits than its factorization.

1401680352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1401680352 is about 37439.0217820925. The cubic root of 1401680352 is about 1119.1363324691.

The spelling of 1401680352 in words is "one billion, four hundred one million, six hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 443 552 736 886 1104 1329 1433 1772 2208 2658 2866 3544 4299 5316 5732 7088 8598 10189 10632 11464 14176 17196 20378 21264 22928 30567 32959 34392 40756 42528 45856 61134 65918 68784 81512 98877 122268 131836 137568 163024 197754 244536 263672 326048 395508 489072 527344 634819 791016 978144 1054688 1269638 1582032 1904457 2539276 3164064 3808914 5078552 7617828 10157104 14600837 15235656 20314208 29201674 30471312 43802511 58403348 60942624 87605022 116806696 175210044 233613392 350420088 467226784 700840176 1401680352