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155435040 = 25325107941
BaseRepresentation
bin10010100001111…
…00000000100000
3101211110220210100
421100330000200
5304242410130
623231302400
73565114245
oct1120740040
9354426710
10155435040
117a814712
124407aa00
13262829c7
14169015cc
15d9a4c60
hex943c020

155435040 has 72 divisors (see below), whose sum is σ = 530426988. Its totient is φ = 41448960.

The previous prime is 155434997. The next prime is 155435051. The reversal of 155435040 is 40534551.

155435040 is a `hidden beast` number, since 155 + 4 + 3 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153660816 + 1774224 = 12396^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 155434995 and 155435013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52531 + ... + 55410.

Almost surely, 2155435040 is an apocalyptic number.

155435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155435040 is an abundant number, since it is smaller than the sum of its proper divisors (374991948).

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

155435040 is a wasteful number, since it uses less digits than its factorization.

155435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107962 (or 107951 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 155435040 is about 12467.3589825592. The cubic root of 155435040 is about 537.6706247565.

Adding to 155435040 its reverse (40534551), we get a palindrome (195969591).

The spelling of 155435040 in words is "one hundred fifty-five million, four hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 107941 215882 323823 431764 539705 647646 863528 971469 1079410 1295292 1619115 1727056 1942938 2158820 2590584 3238230 3454112 3885876 4317640 4857345 5181168 6476460 7771752 8635280 9714690 10362336 12952920 15543504 17270560 19429380 25905840 31087008 38858760 51811680 77717520 155435040