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11938940 = 2251347977
BaseRepresentation
bin101101100010…
…110001111100
3211110120010222
4231202301330
511024021230
61103520512
7203323256
oct55426174
924416128
1011938940
1168149a2
123bb9138
132620280
14182acd6
1510ac6e5
hexb62c7c

11938940 has 48 divisors (see below), whose sum is σ = 27603072. Its totient is φ = 4310016.

The previous prime is 11938933. The next prime is 11938943. The reversal of 11938940 is 4983911.

11938940 = T339 + T340 + ... + T479.

It is a self number, because there is not a number n which added to its sum of digits gives 11938940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11938943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11732 + ... + 12708.

It is an arithmetic number, because the mean of its divisors is an integer number (575064).

Almost surely, 211938940 is an apocalyptic number.

11938940 is a gapful number since it is divisible by the number (10) 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 11938940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801536).

11938940 is an abundant number, since it is smaller than the sum of its proper divisors (15664132).

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

11938940 is a wasteful number, since it uses less digits than its factorization.

11938940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 11938940 is about 3455.2771234736. The cubic root of 11938940 is about 228.5538755122.

The spelling of 11938940 in words is "eleven million, nine hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 977 1222 1954 2444 3055 3908 4885 6110 9770 12220 12701 19540 25402 45919 50804 63505 91838 127010 183676 229595 254020 459190 596947 918380 1193894 2387788 2984735 5969470 11938940