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152535540 = 223523110533
BaseRepresentation
bin10010001011110…
…00000111110100
3101122000121102110
421011320013310
5303022114130
623045211020
73531350013
oct1105700764
9348017373
10152535540
1179114233
1243100a70
13257a9021
1416388a7a
15d5d0ab0
hex91781f4

152535540 has 48 divisors (see below), whose sum is σ = 445673088. Its totient is φ = 38907264.

The previous prime is 152535527. The next prime is 152535557. The reversal of 152535540 is 45535251.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 = 152535498 and 152535507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53887 + ... + 56646.

It is an arithmetic number, because the mean of its divisors is an integer number (9284856).

Almost surely, 2152535540 is an apocalyptic number.

152535540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152535540 is an abundant number, since it is smaller than the sum of its proper divisors (293137548).

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

152535540 is a wasteful number, since it uses less digits than its factorization.

152535540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110568 (or 110566 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 152535540 is about 12350.5279239391. The cubic root of 152535540 is about 534.3063651804.

The spelling of 152535540 in words is "one hundred fifty-two million, five hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 110533 221066 331599 442132 552665 663198 1105330 1326396 1657995 2210660 2542259 3315990 5084518 6631980 7626777 10169036 12711295 15253554 25422590 30507108 38133885 50845180 76267770 152535540