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1445906540 = 2251321512833
BaseRepresentation
bin101011000101110…
…1100100001101100
310201202201122220002
41112023230201230
510430123002130
6355250443432
750555000651
oct12613544154
93652648802
101445906540
116821a3a91
12344293578
131a0732900
14da061c28
1586e11b45
hex562ec86c

1445906540 has 72 divisors (see below), whose sum is σ = 3310882848. Its totient is φ = 530150400.

The previous prime is 1445906537. The next prime is 1445906573. The reversal of 1445906540 is 456095441.

It is a junction number, because it is equal to n+sod(n) for n = 1445906494 and 1445906503.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508964 + ... + 511796.

It is an arithmetic number, because the mean of its divisors is an integer number (45984484).

Almost surely, 21445906540 is an apocalyptic number.

1445906540 is a gapful number since it is divisible by the number (10) 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 1445906540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655441424).

1445906540 is an abundant number, since it is smaller than the sum of its proper divisors (1864976308).

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

1445906540 is a wasteful number, since it uses less digits than its factorization.

1445906540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 1445906540 is about 38025.0777776982. The cubic root of 1445906540 is about 1130.7850915045.

The spelling of 1445906540 in words is "one billion, four hundred forty-five million, nine hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 169 260 302 338 604 676 755 845 1510 1690 1963 2833 3020 3380 3926 5666 7852 9815 11332 14165 19630 25519 28330 36829 39260 51038 56660 73658 102076 127595 147316 184145 255190 368290 427783 478777 510380 736580 855566 957554 1711132 1915108 2138915 2393885 4277830 4787770 5561179 8555660 9575540 11122358 22244716 27805895 55611790 72295327 111223580 144590654 289181308 361476635 722953270 1445906540