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2145254540 = 2251113827907
BaseRepresentation
bin111111111011101…
…1111110010001100
312112111200012222212
41333313133302030
513343141121130
6552512125552
7104106235262
oct17767376214
95474605885
102145254540
11a00a38540
124ba5368b8
132825a42b0
14164caa432
15c8505e95
hex7fddfc8c

2145254540 has 96 divisors (see below), whose sum is σ = 5304870144. Its totient is φ = 718421760.

The previous prime is 2145254519. The next prime is 2145254557. The reversal of 2145254540 is 454525412.

It is a super-2 number, since 2×21452545402 = 9204234082781223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2145254497 and 2145254506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2364767 + ... + 2365673.

It is an arithmetic number, because the mean of its divisors is an integer number (55259064).

Almost surely, 22145254540 is an apocalyptic number.

2145254540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145254540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652435072).

2145254540 is an abundant number, since it is smaller than the sum of its proper divisors (3159615604).

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

2145254540 is a wasteful number, since it uses less digits than its factorization.

2145254540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The square root of 2145254540 is about 46316.8925987053. The cubic root of 2145254540 is about 1289.7126014802.

Adding to 2145254540 its reverse (454525412), we get a palindrome (2599779952).

The spelling of 2145254540 in words is "two billion, one hundred forty-five million, two hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 827 907 1430 1654 1814 2860 3308 3628 4135 4535 8270 9070 9097 9977 10751 11791 16540 18140 18194 19954 21502 23582 36388 39908 43004 45485 47164 49885 53755 58955 90970 99770 107510 117910 118261 129701 181940 199540 215020 235820 236522 259402 473044 518804 591305 648505 750089 1182610 1297010 1500178 2365220 2594020 3000356 3750445 7500890 8250979 9751157 15001780 16501958 19502314 33003916 39004628 41254895 48755785 82509790 97511570 107262727 165019580 195023140 214525454 429050908 536313635 1072627270 2145254540