Search a number
-
+
11942490 = 2357293753
BaseRepresentation
bin101101100011…
…101001011010
3211110202000110
4231203221122
511024124430
61103545150
7203336520
oct55435132
924422013
1011942490
11681762a
123bbb1b6
132621a81
14182c310
1510ad7b0
hexb63a5a

11942490 has 128 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 2515968.

The previous prime is 11942479. The next prime is 11942501. The reversal of 11942490 is 9424911.

It is an interprime number because it is at equal distance from previous prime (11942479) and next prime (11942501).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 225304 + ... + 225356.

It is an arithmetic number, because the mean of its divisors is an integer number (277020).

Almost surely, 211942490 is an apocalyptic number.

11942490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11942490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

11942490 is an abundant number, since it is smaller than the sum of its proper divisors (23516070).

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

11942490 is a wasteful number, since it uses less digits than its factorization.

11942490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11942490 is about 3455.7907922790. The cubic root of 11942490 is about 228.5765264860.

It can be divided in two parts, 1 and 1942490, that added together give a palindrome (1942491).

The spelling of 11942490 in words is "eleven million, nine hundred forty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 37 42 53 58 70 74 87 105 106 111 145 159 174 185 203 210 222 259 265 290 318 370 371 406 435 518 530 555 609 742 777 795 870 1015 1073 1110 1113 1218 1295 1537 1554 1590 1855 1961 2030 2146 2226 2590 3045 3074 3219 3710 3885 3922 4611 5365 5565 5883 6090 6438 7511 7685 7770 9222 9805 10730 10759 11130 11766 13727 15022 15370 16095 19610 21518 22533 23055 27454 29415 32190 32277 37555 41181 45066 46110 53795 56869 58830 64554 68635 75110 82362 107590 112665 113738 137270 161385 170607 205905 225330 284345 322770 341214 398083 411810 568690 796166 853035 1194249 1706070 1990415 2388498 3980830 5971245 11942490