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40999680 = 283253559
BaseRepresentation
bin1001110001100…
…1101100000000
32212010222222200
42130121230000
540443442210
64022433200
71005330411
oct234315400
985128880
1040999680
1121163737
1211892800
138656887
145633808
1538ed0c0
hex2719b00

40999680 has 108 divisors (see below), whose sum is σ = 141894480. Its totient is φ = 10930176.

The previous prime is 40999667. The next prime is 40999681. The reversal of 40999680 is 8699904.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40999681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9741 + ... + 13299.

Almost surely, 240999680 is an apocalyptic number.

40999680 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 40999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70947240).

40999680 is an abundant number, since it is smaller than the sum of its proper divisors (100894800).

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

40999680 is a wasteful number, since it uses less digits than its factorization.

40999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 40999680 is about 6403.0992495822. The cubic root of 40999680 is about 344.8208269388.

The spelling of 40999680 in words is "forty million, nine hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3559 3840 5760 7118 10677 11520 14236 17795 21354 28472 32031 35590 42708 53385 56944 64062 71180 85416 106770 113888 128124 142360 160155 170832 213540 227776 256248 284720 320310 341664 427080 455552 512496 569440 640620 683328 854160 911104 1024992 1138880 1281240 1366656 1708320 2049984 2277760 2562480 2733312 3416640 4099968 4555520 5124960 6833280 8199936 10249920 13666560 20499840 40999680