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1230921216 = 29327311231
BaseRepresentation
bin100100101011110…
…0101111000000000
310011210012021110200
41021113211320000
510010103434331
6322050525200
742334441410
oct11127457000
93153167420
101230921216
11581906368
122a4296800
1316802c865
14b969c640
15730e75e6
hex495e5e00

1230921216 has 240 divisors, whose sum is σ = 4194398208. Its totient is φ = 340070400.

The previous prime is 1230921203. The next prime is 1230921271. The reversal of 1230921216 is 6121290321.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1230921216.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 999321 + ... + 1000551.

Almost surely, 21230921216 is an apocalyptic number.

1230921216 is a gapful number since it is divisible by the number (16) 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 1230921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097199104).

1230921216 is an abundant number, since it is smaller than the sum of its proper divisors (2963476992).

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

1230921216 is a wasteful number, since it uses less digits than its factorization.

1230921216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1230921216 is about 35084.4868282265. The cubic root of 1230921216 is about 1071.7086904305.

The spelling of 1230921216 in words is "one billion, two hundred thirty million, nine hundred twenty-one thousand, two hundred sixteen".