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11948196 = 22313191401
BaseRepresentation
bin101101100101…
…000010100100
3211111000211210
4231211002210
511024320241
61104031420
7203362251
oct55450244
924430753
1011948196
116820947
124002570
132624550
141830428
1510b0316
hexb650a4

11948196 has 48 divisors (see below), whose sum is σ = 30256128. Its totient is φ = 3648000.

The previous prime is 11948147. The next prime is 11948221. The reversal of 11948196 is 69184911.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29596 + ... + 29996.

It is an arithmetic number, because the mean of its divisors is an integer number (630336).

Almost surely, 211948196 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 11948196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15128064).

11948196 is an abundant number, since it is smaller than the sum of its proper divisors (18307932).

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

11948196 is a wasteful number, since it uses less digits than its factorization.

11948196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 610 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 11948196 is about 3456.6162644991. The cubic root of 11948196 is about 228.6129245346.

The spelling of 11948196 in words is "eleven million, nine hundred forty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 191 382 401 573 764 802 1146 1203 1604 2292 2406 2483 4812 4966 5213 7449 9932 10426 14898 15639 20852 29796 31278 62556 76591 153182 229773 306364 459546 919092 995683 1991366 2987049 3982732 5974098 11948196