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6132030120 = 2332525936569
BaseRepresentation
bin1011011010111111…
…10101101010101000
3120211100111101221200
411231133311222220
5100024244430440
62452250404200
7304646252556
oct55537655250
916740441850
106132030120
112667409a97
121231730660
137695455b8
1442257abd6
1525d517c30
hex16d7f5aa8

6132030120 has 96 divisors (see below), whose sum is σ = 19939818600. Its totient is φ = 1634328576.

The previous prime is 6132030109. The next prime is 6132030127. The reversal of 6132030120 is 210302316.

6132030120 is a `hidden beast` number, since 613 + 2 + 0 + 30 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5936086116 + 195944004 = 77046^2 + 13998^2 .

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 = 6132030093 and 6132030102.

It is not an unprimeable number, because it can be changed into a prime (6132030127) 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, 930196 + ... + 936764.

Almost surely, 26132030120 is an apocalyptic number.

6132030120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6132030120 is an abundant number, since it is smaller than the sum of its proper divisors (13807788480).

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

6132030120 is a wasteful number, since it uses less digits than its factorization.

6132030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9179 (or 9172 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 6132030120 is about 78307.2801213272. The cubic root of 6132030120 is about 1830.3525971128.

Adding to 6132030120 its reverse (210302316), we get a palindrome (6342332436).

The spelling of 6132030120 in words is "six billion, one hundred thirty-two million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2593 5186 6569 7779 10372 12965 13138 15558 19707 20744 23337 25930 26276 31116 32845 38895 39414 46674 51860 52552 59121 62232 65690 77790 78828 93348 98535 103720 116685 118242 131380 155580 157656 186696 197070 233370 236484 262760 295605 311160 394140 466740 472968 591210 788280 933480 1182420 2364840 17033417 34066834 51100251 68133668 85167085 102200502 136267336 153300753 170334170 204401004 255501255 306601506 340668340 408802008 511002510 613203012 681336680 766503765 1022005020 1226406024 1533007530 2044010040 3066015060 6132030120