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45159240 = 23357371453
BaseRepresentation
bin1010110001000…
…1001101001000
310010222022211110
42230101031020
543030043430
64251530320
71055563410
oct254211510
9103868743
1045159240
1123544895
12131599a0
139481c59
145dd7640
153e707b0
hex2b11348

45159240 has 128 divisors (see below), whose sum is σ = 159125760. Its totient is φ = 10036224.

The previous prime is 45159239. The next prime is 45159241. The reversal of 45159240 is 4295154.

It is an interprime number because it is at equal distance from previous prime (45159239) and next prime (45159241).

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

It is a junction number, because it is equal to n+sod(n) for n = 45159198 and 45159207.

It is not an unprimeable number, because it can be changed into a prime (45159241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30354 + ... + 31806.

It is an arithmetic number, because the mean of its divisors is an integer number (1243170).

Almost surely, 245159240 is an apocalyptic number.

45159240 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 45159240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79562880).

45159240 is an abundant number, since it is smaller than the sum of its proper divisors (113966520).

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

45159240 is a wasteful number, since it uses less digits than its factorization.

45159240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 45159240 is about 6720.0624997094. The cubic root of 45159240 is about 356.1083918566.

The spelling of 45159240 in words is "forty-five million, one hundred fifty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1453 1480 1554 2072 2220 2590 2906 3108 3885 4359 4440 5180 5812 6216 7265 7770 8718 10171 10360 11624 14530 15540 17436 20342 21795 29060 30513 31080 34872 40684 43590 50855 53761 58120 61026 81368 87180 101710 107522 122052 152565 161283 174360 203420 215044 244104 268805 305130 322566 376327 406840 430088 537610 610260 645132 752654 806415 1075220 1128981 1220520 1290264 1505308 1612830 1881635 2150440 2257962 3010616 3225660 3763270 4515924 5644905 6451320 7526540 9031848 11289810 15053080 22579620 45159240