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921321996 = 2237291133347
BaseRepresentation
bin110110111010100…
…100001000001100
32101012122000011220
4312322210020030
53341324300441
6231231043340
731555051650
oct6672441014
92335560156
10921321996
11433075941
12218670550
13118b5075a
148a50aa60
1555d3e466
hex36ea420c

921321996 has 96 divisors (see below), whose sum is σ = 2564835840. Its totient is φ = 251833344.

The previous prime is 921321991. The next prime is 921321997. The reversal of 921321996 is 699123129.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (921321991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273595 + ... + 276941.

It is an arithmetic number, because the mean of its divisors is an integer number (26717040).

Almost surely, 2921321996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 921321996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

921321996 is an abundant number, since it is smaller than the sum of its proper divisors (1643513844).

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

921321996 is a wasteful number, since it uses less digits than its factorization.

921321996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3501 counting only the distinct ones).

The product of its digits is 52488, while the sum is 42.

The square root of 921321996 is about 30353.2864118533. The cubic root of 921321996 is about 973.0544578026.

The spelling of 921321996 in words is "nine hundred twenty-one million, three hundred twenty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 113 116 174 203 226 339 348 406 452 609 678 791 812 1218 1356 1582 2373 2436 3164 3277 3347 4746 6554 6694 9492 9831 10041 13108 13388 19662 20082 22939 23429 39324 40164 45878 46858 68817 70287 91756 93716 97063 137634 140574 194126 275268 281148 291189 378211 388252 582378 679441 756422 1134633 1164756 1358882 1512844 2038323 2269266 2647477 2717764 4076646 4538532 5294954 7942431 8153292 10589908 10968119 15884862 21936238 31769724 32904357 43872476 65808714 76776833 131617428 153553666 230330499 307107332 460660998 921321996