Search a number
-
+
40514880 = 263576029
BaseRepresentation
bin1001101010001…
…1010101000000
32211020100222010
42122203111000
540332434010
64004212520
71001241120
oct232432500
984210863
1040514880
112096247a
121169a140
138517003
145548c80
153854620
hex26a3540

40514880 has 112 divisors (see below), whose sum is σ = 147035520. Its totient is φ = 9259008.

The previous prime is 40514857. The next prime is 40514911. The reversal of 40514880 is 8841504.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3706 + ... + 9734.

Almost surely, 240514880 is an apocalyptic number.

40514880 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 40514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73517760).

40514880 is an abundant number, since it is smaller than the sum of its proper divisors (106520640).

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

40514880 is a wasteful number, since it uses less digits than its factorization.

40514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 40514880 is about 6365.1300065278. The cubic root of 40514880 is about 343.4563252655.

The spelling of 40514880 in words is "forty million, five hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6029 6720 12058 18087 24116 30145 36174 42203 48232 60290 72348 84406 90435 96464 120580 126609 144696 168812 180870 192928 211015 241160 253218 289392 337624 361740 385856 422030 482320 506436 578784 633045 675248 723480 844060 964640 1012872 1157568 1266090 1350496 1446960 1688120 1929280 2025744 2532180 2700992 2893920 3376240 4051488 5064360 5787840 6752480 8102976 10128720 13504960 20257440 40514880