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2145387690 = 232561390781
BaseRepresentation
bin111111111100000…
…0000010010101010
312112111220222122100
41333320000102222
513343204401230
6552515034230
7104110331415
oct17770002252
95474828570
102145387690
11a01019586
124ba59b976
1328261ca94
14164d02b7c
15c8530660
hex7fe004aa

2145387690 has 48 divisors (see below), whose sum is σ = 5669465256. Its totient is φ = 562723200.

The previous prime is 2145387667. The next prime is 2145387697. The reversal of 2145387690 is 967835412.

2145387690 is a `hidden beast` number, since 21 + 4 + 538 + 7 + 6 + 90 = 666.

2145387690 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 787981041 + 1357406649 = 28071^2 + 36843^2 .

It is a super-2 number, since 2×21453876902 = 9205376680807072200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

2145387690 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2145387697) 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, 189901 + ... + 200880.

It is a 1-persistent number, because it is pandigital, but 2⋅2145387690 = 4290775380 is not.

Almost surely, 22145387690 is an apocalyptic number.

2145387690 is an abundant number, since it is smaller than the sum of its proper divisors (3524077566).

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

2145387690 is a wasteful number, since it uses less digits than its factorization.

2145387690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390855 (or 390852 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2145387690 is about 46318.3299569404. The cubic root of 2145387690 is about 1289.7392838897.

The spelling of 2145387690 in words is "two billion, one hundred forty-five million, three hundred eighty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 390781 781562 1172343 1953905 2344686 3517029 3907810 5861715 7034058 11723430 17585145 23837641 35170290 47675282 71512923 119188205 143025846 214538769 238376410 357564615 429077538 715129230 1072693845 2145387690