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921012906 = 231153281937
BaseRepresentation
bin110110111001011…
…000101010101010
32101012001022012010
4312321120222222
53341234403111
6231220300350
731552323552
oct6671305252
92335038163
10921012906
114329846a0
122185416b6
13118a72b68
148a46a162
1555cccaa6
hex36e58aaa

921012906 has 64 divisors (see below), whose sum is σ = 2056876416. Its totient is φ = 272563200.

The previous prime is 921012901. The next prime is 921012907. The reversal of 921012906 is 609210129.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (921012901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982470 + ... + 983406.

It is an arithmetic number, because the mean of its divisors is an integer number (32138694).

Almost surely, 2921012906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 921012906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028438208).

921012906 is an abundant number, since it is smaller than the sum of its proper divisors (1135863510).

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

921012906 is a wasteful number, since it uses less digits than its factorization.

921012906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 921012906 is about 30348.1944438215. The cubic root of 921012906 is about 972.9456304713.

The spelling of 921012906 in words is "nine hundred twenty-one million, twelve thousand, nine hundred six".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 281 318 562 583 843 937 1166 1686 1749 1874 2811 3091 3498 5622 6182 9273 10307 14893 18546 20614 29786 30921 44679 49661 61842 89358 99322 148983 163823 263297 297966 327646 491469 526594 546271 789891 982938 1092542 1579782 1638813 2896267 3277626 5792534 8688801 13954741 17377602 27909482 41864223 83728446 153502151 307004302 460506453 921012906