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40860480 = 2635311373
BaseRepresentation
bin1001101111011…
…1101101000000
32211212221001010
42123313231000
540430013410
64015440520
71004210523
oct233675500
984787033
1040860480
11210790a1
1211826140
1386083cb
1455d8bba
1538c1c20
hex26f7b40

40860480 has 112 divisors (see below), whose sum is σ = 134014464. Its totient is φ = 10536960.

The previous prime is 40860473. The next prime is 40860487. The reversal of 40860480 is 8406804.

It is an interprime number because it is at equal distance from previous prime (40860473) and next prime (40860487).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40860487) 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, 29074 + ... + 30446.

Almost surely, 240860480 is an apocalyptic number.

40860480 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 40860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67007232).

40860480 is an abundant number, since it is smaller than the sum of its proper divisors (93153984).

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

40860480 is a wasteful number, since it uses less digits than its factorization.

40860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 40860480 is about 6392.2202715488. The cubic root of 40860480 is about 344.4301451650.

The spelling of 40860480 in words is "forty million, eight hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1373 1488 1860 1984 2480 2746 2976 3720 4119 4960 5492 5952 6865 7440 8238 9920 10984 13730 14880 16476 20595 21968 27460 29760 32952 41190 42563 43936 54920 65904 82380 85126 87872 109840 127689 131808 164760 170252 212815 219680 255378 263616 329520 340504 425630 439360 510756 638445 659040 681008 851260 1021512 1276890 1318080 1362016 1702520 2043024 2553780 2724032 3405040 4086048 5107560 6810080 8172096 10215120 13620160 20430240 40860480