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40071672 = 23366871
BaseRepresentation
bin1001100011011…
…1000111111000
32210101212000000
42120313013320
540224243142
63550513000
7664414014
oct230670770
983355000
1040071672
112068a493
1211505760
1383c0364
145471544
1537b814c
hex26371f8

40071672 has 56 divisors (see below), whose sum is σ = 112666440. Its totient is φ = 13355280.

The previous prime is 40071641. The next prime is 40071701. The reversal of 40071672 is 27617004.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2397 + ... + 9267.

Almost surely, 240071672 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 40071672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56333220).

40071672 is an abundant number, since it is smaller than the sum of its proper divisors (72594768).

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

40071672 is an equidigital number, since it uses as much as digits as its factorization.

40071672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6895 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40071672 is about 6330.2189535592. The cubic root of 40071672 is about 342.1993297843.

Adding to 40071672 its reverse (27617004), we get a palindrome (67688676).

The spelling of 40071672 in words is "forty million, seventy-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 6871 13742 20613 27484 41226 54968 61839 82452 123678 164904 185517 247356 371034 494712 556551 742068 1113102 1484136 1669653 2226204 3339306 4452408 5008959 6678612 10017918 13357224 20035836 40071672