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670612140 = 22325111512243
BaseRepresentation
bin100111111110001…
…011101010101100
31201201212121220200
4213332023222230
52333134042030
6150313313500
722422052302
oct4776135254
91651777820
10670612140
113145a7910
12168705890
13a8c1cc23
14650c8272
153dd19d60
hex27f8baac

670612140 has 144 divisors (see below), whose sum is σ = 2234808576. Its totient is φ = 161424000.

The previous prime is 670612109. The next prime is 670612147. The reversal of 670612140 is 41216076.

670612140 is a `hidden beast` number, since 6 + 7 + 0 + 612 + 1 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (670612147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297859 + ... + 300101.

It is an arithmetic number, because the mean of its divisors is an integer number (15519504).

Almost surely, 2670612140 is an apocalyptic number.

670612140 is a gapful number since it is divisible by the number (60) 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 670612140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117404288).

670612140 is an abundant number, since it is smaller than the sum of its proper divisors (1564196436).

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

670612140 is a wasteful number, since it uses less digits than its factorization.

670612140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 670612140 is about 25896.1800271778. The cubic root of 670612140 is about 875.3004203800.

The spelling of 670612140 in words is "six hundred seventy million, six hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 198 220 302 330 396 453 495 604 660 755 906 990 1359 1510 1661 1812 1980 2243 2265 2718 3020 3322 4486 4530 4983 5436 6644 6729 6795 8305 8972 9060 9966 11215 13458 13590 14949 16610 19932 20187 22430 24673 24915 26916 27180 29898 33220 33645 40374 44860 49346 49830 59796 67290 74019 74745 80748 98692 99660 100935 123365 134580 148038 149490 201870 222057 246730 296076 298980 338693 370095 403740 444114 493460 677386 740190 888228 1016079 1110285 1354772 1480380 1693465 2032158 2220570 3048237 3386930 3725623 4064316 4441140 5080395 6096474 6773860 7451246 10160790 11176869 12192948 14902492 15241185 18628115 20321580 22353738 30482370 33530607 37256230 44707476 55884345 60964740 67061214 74512460 111768690 134122428 167653035 223537380 335306070 670612140