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1620943164 = 22371271459
BaseRepresentation
bin110000010011101…
…1010000100111100
311011222002110000000
41200213122010330
511304430140124
6424502234300
755111534551
oct14047320474
94158073000
101620943164
11761a86655
12392a25990
131caa89589
141153c6a28
15974896c9
hex609da13c

1620943164 has 96 divisors (see below), whose sum is σ = 4290764800. Its totient is φ = 535692528.

The previous prime is 1620943141. The next prime is 1620943169. The reversal of 1620943164 is 4613490261.

1620943164 is a `hidden beast` number, since 16 + 209 + 431 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620943169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110267 + ... + 1111725.

Almost surely, 21620943164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1620943164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145382400).

1620943164 is an abundant number, since it is smaller than the sum of its proper divisors (2669821636).

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

1620943164 is a wasteful number, since it uses less digits than its factorization.

1620943164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1620943164 is about 40260.9384391373. The cubic root of 1620943164 is about 1174.6881717267.

It can be divided in two parts, 1620 and 943164, that added together give a square (944784 = 9722).

The spelling of 1620943164 in words is "one billion, six hundred twenty million, nine hundred forty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 243 254 324 381 486 508 729 762 972 1143 1458 1459 1524 2187 2286 2916 2918 3429 4374 4377 4572 5836 6858 8748 8754 10287 13131 13716 17508 20574 26262 30861 39393 41148 52524 61722 78786 92583 118179 123444 157572 185166 185293 236358 277749 354537 370332 370586 472716 555498 555879 709074 741172 1063611 1110996 1111758 1418148 1667637 2127222 2223516 3190833 3335274 4254444 5002911 6381666 6670548 10005822 12763332 15008733 20011644 30017466 45026199 60034932 90052398 135078597 180104796 270157194 405235791 540314388 810471582 1620943164