Search a number
-
+
145791261 = 32711792663
BaseRepresentation
bin10001011000010…
…01100100011101
3101011022222000100
420230021210131
5244310310021
622244451313
73420130260
oct1054114435
9334288010
10145791261
1175328150
12409a9b39
1324287325
1415510cd7
15cbec626
hex8b0991d

145791261 has 48 divisors (see below), whose sum is σ = 265973760. Its totient is φ = 74748960.

The previous prime is 145791257. The next prime is 145791271. The reversal of 145791261 is 162197541.

145791261 is a `hidden beast` number, since 14 + 579 + 12 + 61 = 666.

It is not a de Polignac number, because 145791261 - 22 = 145791257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145791271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53416 + ... + 56078.

It is an arithmetic number, because the mean of its divisors is an integer number (5541120).

Almost surely, 2145791261 is an apocalyptic number.

145791261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145791261 is a deficient number, since it is larger than the sum of its proper divisors (120182499).

145791261 is a wasteful number, since it uses less digits than its factorization.

145791261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2763 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 145791261 is about 12074.4052027419. The cubic root of 145791261 is about 526.3126770341.

The spelling of 145791261 in words is "one hundred forty-five million, seven hundred ninety-one thousand, two hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 63 77 79 99 231 237 553 693 711 869 1659 2607 2663 4977 6083 7821 7989 18249 18641 23967 29293 54747 55923 87879 167769 205051 210377 263637 615153 631131 1472639 1845459 1893393 2314147 4417917 6942441 13253751 16199029 20827323 48597087 145791261