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906401196 = 2232611912161
BaseRepresentation
bin110110000001101…
…001010110101100
32100011112221200200
4312001221112230
53324014314241
6225535153500
731314166041
oct6601512654
92304487620
10906401196
114257046a8
12213675890
13115a2818c
14885451c8
15548934b6
hex360695ac

906401196 has 72 divisors (see below), whose sum is σ = 2342016768. Its totient is φ = 295488000.

The previous prime is 906401191. The next prime is 906401231. The reversal of 906401196 is 691104609.

906401196 is a `hidden beast` number, since 9 + 0 + 640 + 1 + 1 + 9 + 6 = 666.

It is a super-2 number, since 2×9064011962 = 1643126256220460832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 906401196.

It is not an unprimeable number, because it can be changed into a prime (906401191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418356 + ... + 420516.

Almost surely, 2906401196 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 906401196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171008384).

906401196 is an abundant number, since it is smaller than the sum of its proper divisors (1435615572).

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

906401196 is a wasteful number, since it uses less digits than its factorization.

906401196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 906401196 is about 30106.4975711224. The cubic root of 906401196 is about 967.7729742737.

The spelling of 906401196 in words is "nine hundred six million, four hundred one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 191 244 366 382 549 573 732 764 1098 1146 1719 2161 2196 2292 3438 4322 6483 6876 8644 11651 12966 19449 23302 25932 34953 38898 46604 69906 77796 104859 131821 139812 209718 263642 395463 412751 419436 527284 790926 825502 1186389 1238253 1581852 1651004 2372778 2476506 3714759 4745556 4953012 7429518 14859036 25177811 50355622 75533433 100711244 151066866 226600299 302133732 453200598 906401196