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40172640 = 2535127659
BaseRepresentation
bin1001100100111…
…1110001100000
32210120222111120
42121033301200
540241011030
63553012240
7665314254
oct231176140
983528446
1040172640
1120749332
1211554080
1384272c1
14549a264
1537d8010
hex264fc60

40172640 has 96 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 10612224.

The previous prime is 40172633. The next prime is 40172641. The reversal of 40172640 is 4627104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401726402 = 3227682009139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40172640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40172641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60631 + ... + 61289.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 240172640 is an apocalyptic number.

40172640 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 40172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

40172640 is an abundant number, since it is smaller than the sum of its proper divisors (87561120).

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

40172640 is a wasteful number, since it uses less digits than its factorization.

40172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40172640 is about 6338.1890157994. The cubic root of 40172640 is about 342.4865002582.

Adding to 40172640 its reverse (4627104), we get a palindrome (44799744).

The spelling of 40172640 in words is "forty million, one hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 659 762 1016 1270 1318 1524 1905 1977 2032 2540 2636 3048 3295 3810 3954 4064 5080 5272 6096 6590 7620 7908 9885 10160 10544 12192 13180 15240 15816 19770 20320 21088 26360 30480 31632 39540 52720 60960 63264 79080 83693 105440 158160 167386 251079 316320 334772 418465 502158 669544 836930 1004316 1255395 1339088 1673860 2008632 2510790 2678176 3347720 4017264 5021580 6695440 8034528 10043160 13390880 20086320 40172640