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40874160 = 2435732333
BaseRepresentation
bin1001101111101…
…1000010110000
32211220121210210
42123323002300
540430433120
64020024120
71004265435
oct233730260
984817723
1040874160
11210883a8
1211832040
1386116c2
1455ddb8c
1538c5ce0
hex26fb0b0

40874160 has 80 divisors (see below), whose sum is σ = 128500704. Its totient is φ = 10745856.

The previous prime is 40874147. The next prime is 40874177. The reversal of 40874160 is 6147804.

40874160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 16354 + ... + 18686.

Almost surely, 240874160 is an apocalyptic number.

40874160 is a gapful number since it is divisible by the number (40) 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 40874160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64250352).

40874160 is an abundant number, since it is smaller than the sum of its proper divisors (87626544).

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

40874160 is a wasteful number, since it uses less digits than its factorization.

40874160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 40874160 is about 6393.2902327362. The cubic root of 40874160 is about 344.4685790311.

The spelling of 40874160 in words is "forty million, eight hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2333 2920 3504 4380 4666 5840 6999 8760 9332 11665 13998 17520 18664 23330 27996 34995 37328 46660 55992 69990 93320 111984 139980 170309 186640 279960 340618 510927 559920 681236 851545 1021854 1362472 1703090 2043708 2554635 2724944 3406180 4087416 5109270 6812360 8174832 10218540 13624720 20437080 40874160