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1961690832 = 24338215531
BaseRepresentation
bin111010011101101…
…0000011011010000
312001201021012221000
41310323100123100
513004143101312
6522353502000
766420045153
oct16473203320
95051235830
101961690832
119173613a2
12468b71900
1325355330a
14148765c9a
15b7346adc
hex74ed06d0

1961690832 has 80 divisors (see below), whose sum is σ = 5638656960. Its totient is φ = 652982400.

The previous prime is 1961690779. The next prime is 1961690833. The reversal of 1961690832 is 2380961691.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961690833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351907 + ... + 357437.

It is an arithmetic number, because the mean of its divisors is an integer number (70483212).

Almost surely, 21961690832 is an apocalyptic number.

1961690832 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 1961690832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819328480).

1961690832 is an abundant number, since it is smaller than the sum of its proper divisors (3676966128).

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

1961690832 is a wasteful number, since it uses less digits than its factorization.

1961690832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1961690832 is about 44290.9791266800. The cubic root of 1961690832 is about 1251.8247125365.

The spelling of 1961690832 in words is "one billion, nine hundred sixty-one million, six hundred ninety thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 821 1642 2463 3284 4926 5531 6568 7389 9852 11062 13136 14778 16593 19704 22124 22167 29556 33186 39408 44248 44334 49779 59112 66372 88496 88668 99558 118224 132744 149337 177336 199116 265488 298674 354672 398232 597348 796464 1194696 2389392 4540951 9081902 13622853 18163804 27245706 36327608 40868559 54491412 72655216 81737118 108982824 122605677 163474236 217965648 245211354 326948472 490422708 653896944 980845416 1961690832