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672505140 = 223547238477
BaseRepresentation
bin101000000101011…
…001110100110100
31201212102210121210
4220011121310310
52334130131030
6150422041420
722444125246
oct5005316464
91655383553
10672505140
1131568007a
12169279270
13a9433748
146545c096
153e090bb0
hex28159d34

672505140 has 48 divisors (see below), whose sum is σ = 1923086592. Its totient is φ = 175518336.

The previous prime is 672505123. The next prime is 672505153. The reversal of 672505140 is 41505276.

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 = 672505098 and 672505107.

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, 116419 + ... + 122058.

It is an arithmetic number, because the mean of its divisors is an integer number (40064304).

Almost surely, 2672505140 is an apocalyptic number.

672505140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

672505140 is an abundant number, since it is smaller than the sum of its proper divisors (1250581452).

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

672505140 is a wasteful number, since it uses less digits than its factorization.

672505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238536 (or 238534 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 672505140 is about 25932.7040626310. The cubic root of 672505140 is about 876.1232442684.

It can be divided in two parts, 67250 and 5140, that added together give a triangular number (72390 = T380).

The spelling of 672505140 in words is "six hundred seventy-two million, five hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 238477 476954 715431 953908 1192385 1430862 2384770 2861724 3577155 4769540 7154310 11208419 14308620 22416838 33625257 44833676 56042095 67250514 112084190 134501028 168126285 224168380 336252570 672505140