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1045755945 = 325132199691
BaseRepresentation
bin111110010101001…
…111100000101001
32200212202220110200
4332111033200221
54120203142240
6251434102413
734625531103
oct7625174051
92625686420
101045755945
11497335a13
1225227aa09
1313886a900
149cc5c573
1561c1d930
hex3e54f829

1045755945 has 72 divisors (see below), whose sum is σ = 1975521600. Its totient is φ = 511505280.

The previous prime is 1045755941. The next prime is 1045756009. The reversal of 1045755945 is 5495575401.

It is a happy number.

1045755945 is a `hidden beast` number, since 1 + 0 + 4 + 57 + 5 + 594 + 5 = 666.

It is not a de Polignac number, because 1045755945 - 22 = 1045755941 is a prime.

It is a super-3 number, since 3×10457559453 (a number of 28 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1045755945.

It is not an unprimeable number, because it can be changed into a prime (1045755941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1513050 + ... + 1513740.

It is an arithmetic number, because the mean of its divisors is an integer number (27437800).

Almost surely, 21045755945 is an apocalyptic number.

1045755945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1045755945 is a deficient number, since it is larger than the sum of its proper divisors (929765655).

1045755945 is a wasteful number, since it uses less digits than its factorization.

1045755945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The square root of 1045755945 is about 32338.1499934675. The cubic root of 1045755945 is about 1015.0250974567.

The spelling of 1045755945 in words is "one billion, forty-five million, seven hundred fifty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 199 507 585 597 691 845 995 1521 1791 2073 2535 2587 2985 3455 6219 7605 7761 8955 8983 10365 12935 23283 26949 31095 33631 38805 44915 80847 100893 116415 116779 134745 137509 168155 302679 350337 404235 412527 504465 583895 687545 1051011 1237581 1513395 1751685 1787617 2062635 5255055 5362851 6187905 8938085 16088553 23239021 26814255 69717063 80442765 116195105 209151189 348585315 1045755945