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2120187492 = 2232617731249
BaseRepresentation
bin111111001011111…
…0111111001100100
312110202111200110200
41332113313321210
513320231444432
6550214550500
7103353203433
oct17627677144
95422450420
102120187492
11998877275
124b2068430
1327a338717
1416182311a
15c6203a7c
hex7e5f7e64

2120187492 has 72 divisors (see below), whose sum is σ = 5458635000. Its totient is φ = 693688320.

The previous prime is 2120187469. The next prime is 2120187493. The reversal of 2120187492 is 2947810212.

It can be written as a sum of positive squares in 4 ways, for example, as 101123136 + 2019064356 = 10056^2 + 44934^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2120187493) 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, 1696884 + ... + 1698132.

It is an arithmetic number, because the mean of its divisors is an integer number (75814375).

Almost surely, 22120187492 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 2120187492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729317500).

2120187492 is an abundant number, since it is smaller than the sum of its proper divisors (3338447508).

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

2120187492 is a wasteful number, since it uses less digits than its factorization.

2120187492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2120187492 is about 46045.4937208843. The cubic root of 2120187492 is about 1284.6695273758.

The spelling of 2120187492 in words is "two billion, one hundred twenty million, one hundred eighty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 773 1098 1249 1546 2196 2319 2498 3092 3747 4638 4996 6957 7494 9276 11241 13914 14988 22482 27828 44964 47153 76189 94306 141459 152378 188612 228567 282918 304756 424377 457134 565836 685701 848754 914268 965477 1371402 1697508 1930954 2742804 2896431 3861908 5792862 8689293 11585724 17378586 34757172 58894097 117788194 176682291 235576388 353364582 530046873 706729164 1060093746 2120187492