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901402668 = 22391072
BaseRepresentation
bin110101101110100…
…101000000101100
32022211011000000000
4311232211000230
53321224341133
6225240104300
731223540055
oct6556450054
92284130000
10901402668
11422900191
12211a65090
13114997c7a
1487a0372c
1554207413
hex35ba502c

901402668 has 90 divisors (see below), whose sum is σ = 2388462076. Its totient is φ = 297659448.

The previous prime is 901402633. The next prime is 901402669. The reversal of 901402668 is 866204109.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (901402669) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8424271 + ... + 8424377.

Almost surely, 2901402668 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 901402668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194231038).

901402668 is an abundant number, since it is smaller than the sum of its proper divisors (1487059408).

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

901402668 is an frugal number, since it uses more digits than its factorization.

901402668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 901402668 is about 30023.3686983989. The cubic root of 901402668 is about 965.9907024297.

The spelling of 901402668 in words is "nine hundred one million, four hundred two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 642 729 963 972 1284 1458 1926 2187 2889 2916 3852 4374 5778 6561 8667 8748 11449 11556 13122 17334 19683 22898 26001 26244 34347 34668 39366 45796 52002 68694 78003 78732 103041 104004 137388 156006 206082 234009 309123 312012 412164 468018 618246 702027 927369 936036 1236492 1404054 1854738 2106081 2782107 2808108 3709476 4212162 5564214 8346321 8424324 11128428 16692642 25038963 33385284 50077926 75116889 100155852 150233778 225350667 300467556 450701334 901402668