Search a number
-
+
15640434320 = 245739770351
BaseRepresentation
bin11101001000011111…
…00001011010010000
31111101000020101102012
432210033201122100
5224012422344240
611103552442052
71062404332610
oct164417413220
944330211365
1015640434320
1166a6687885
123045b49328
131623431084
14a852d4a40
1561816cb65
hex3a43e1690

15640434320 has 80 divisors (see below), whose sum is σ = 41664142848. Its totient is φ = 5348851200.

The previous prime is 15640434319. The next prime is 15640434361. The reversal of 15640434320 is 2343404651.

It is a tau number, because it is divible by the number of its divisors (80).

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, 187145 + ... + 257495.

Almost surely, 215640434320 is an apocalyptic number.

15640434320 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 15640434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832071424).

15640434320 is an abundant number, since it is smaller than the sum of its proper divisors (26023708528).

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

15640434320 is a wasteful number, since it uses less digits than its factorization.

15640434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70768 (or 70762 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 15640434320 its reverse (2343404651), we get a palindrome (17983838971).

The spelling of 15640434320 in words is "fifteen billion, six hundred forty million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 397 560 794 1588 1985 2779 3176 3970 5558 6352 7940 11116 13895 15880 22232 27790 31760 44464 55580 70351 111160 140702 222320 281404 351755 492457 562808 703510 984914 1125616 1407020 1969828 2462285 2814040 3939656 4924570 5628080 7879312 9849140 19698280 27929347 39396560 55858694 111717388 139646735 195505429 223434776 279293470 391010858 446869552 558586940 782021716 977527145 1117173880 1564043432 1955054290 2234347760 3128086864 3910108580 7820217160 15640434320