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1620671130 = 2325132127839
BaseRepresentation
bin110000010011001…
…0111101010011010
311011221120121211200
41200212113222122
511304342434010
6424452335030
755106322501
oct14046275232
94157517750
101620671130
11761910231
12392914476
131ca9c2800
14115355838
1597433cc0
hex60997a9a

1620671130 has 144 divisors (see below), whose sum is σ = 4604221440. Its totient is φ = 395321472.

The previous prime is 1620671123. The next prime is 1620671131. The reversal of 1620671130 is 311760261.

1620671130 is a `hidden beast` number, since 1 + 620 + 6 + 7 + 1 + 1 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1620671094 and 1620671103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620671131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1931251 + ... + 1932089.

It is an arithmetic number, because the mean of its divisors is an integer number (31973760).

Almost surely, 21620671130 is an apocalyptic number.

1620671130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1620671130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302110720).

1620671130 is an abundant number, since it is smaller than the sum of its proper divisors (2983550310).

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

1620671130 is a wasteful number, since it uses less digits than its factorization.

1620671130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1620671130 is about 40257.5599111521. The cubic root of 1620671130 is about 1174.6224542260.

The spelling of 1620671130 in words is "one billion, six hundred twenty million, six hundred seventy-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 127 130 169 195 234 254 338 381 390 507 585 635 762 839 845 1014 1143 1170 1270 1521 1651 1678 1690 1905 2286 2517 2535 3042 3302 3810 4195 4953 5034 5070 5715 7551 7605 8255 8390 9906 10907 11430 12585 14859 15102 15210 16510 21463 21814 24765 25170 29718 32721 37755 42926 49530 54535 64389 65442 74295 75510 98163 106553 107315 109070 128778 141791 148590 163605 193167 196326 213106 214630 283582 319659 321945 327210 386334 425373 490815 532765 639318 643890 708955 850746 958977 965835 981630 1065530 1276119 1385189 1417910 1598295 1917954 1931670 2126865 2552238 2770378 3196590 4155567 4253730 4794885 6380595 6925945 8311134 9589770 12466701 12761190 13851890 18007457 20777835 24933402 36014914 41555670 54022371 62333505 90037285 108044742 124667010 162067113 180074570 270111855 324134226 540223710 810335565 1620671130