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1612130040 = 23355165857
BaseRepresentation
bin110000000010111…
…0010011011111000
311011100111200200000
41200011302123320
511300201130130
6423545313000
754643610403
oct14005623370
94140450600
101612130040
11758007184
1238ba95760
131c8cc2001
14114170d3a
15967e8260
hex601726f8

1612130040 has 96 divisors (see below), whose sum is σ = 5433508080. Its totient is φ = 429898752.

The previous prime is 1612130017. The next prime is 1612130041. The reversal of 1612130040 is 400312161.

It is a happy number.

1612130040 is a `hidden beast` number, since 1 + 612 + 13 + 0 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1612129995 and 1612130022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1612130041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73209 + ... + 92648.

Almost surely, 21612130040 is an apocalyptic number.

1612130040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1612130040 is an abundant number, since it is smaller than the sum of its proper divisors (3821378040).

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

1612130040 is a wasteful number, since it uses less digits than its factorization.

1612130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165883 (or 165867 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1612130040 is about 40151.3392055608. The cubic root of 1612130040 is about 1172.5553615945. Note that the first 3 decimals are identical.

The spelling of 1612130040 in words is "one billion, six hundred twelve million, one hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 165857 331714 497571 663428 829285 995142 1326856 1492713 1658570 1990284 2487855 2985426 3317140 3980568 4478139 4975710 5970852 6634280 7463565 8956278 9951420 11941704 13434417 14927130 17912556 19902840 22390695 26868834 29854260 35825112 40303251 44781390 53737668 59708520 67172085 80606502 89562780 107475336 134344170 161213004 179125560 201516255 268688340 322426008 403032510 537376680 806065020 1612130040