Search a number
-
+
11373672 = 23343103107
BaseRepresentation
bin101011011000…
…110001101000
3210101211202010
4223120301220
510402424142
61043435520
7165450252
oct53306150
923354663
1011373672
116469232
123985ba0
132482bab
141720cd2
15ee9e9c
hexad8c68

11373672 has 64 divisors (see below), whose sum is σ = 29652480. Its totient is φ = 3632832.

The previous prime is 11373667. The next prime is 11373701. The reversal of 11373672 is 27637311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106243 + ... + 106349.

It is an arithmetic number, because the mean of its divisors is an integer number (463320).

Almost surely, 211373672 is an apocalyptic number.

11373672 is a gapful number since it is divisible by the number (12) 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 11373672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826240).

11373672 is an abundant number, since it is smaller than the sum of its proper divisors (18278808).

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

11373672 is a wasteful number, since it uses less digits than its factorization.

11373672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 11373672 is about 3372.4875092430. The cubic root of 11373672 is about 224.8883198847. Note that the first 3 decimals are identical.

The spelling of 11373672 in words is "eleven million, three hundred seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 103 107 129 172 206 214 258 309 321 344 412 428 516 618 642 824 856 1032 1236 1284 2472 2568 4429 4601 8858 9202 11021 13287 13803 17716 18404 22042 26574 27606 33063 35432 36808 44084 53148 55212 66126 88168 106296 110424 132252 264504 473903 947806 1421709 1895612 2843418 3791224 5686836 11373672