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145787712 = 2637671619
BaseRepresentation
bin10001011000010…
…00101101000000
3101011022210010220
420230020231000
5244310201322
622244423040
73420114030
oct1054105500
9334283126
10145787712
1175325514
12409a7a80
1324285825
141550d8c0
15cbeb55c
hex8b08b40

145787712 has 112 divisors (see below), whose sum is σ = 447690240. Its totient is φ = 41006592.

The previous prime is 145787711. The next prime is 145787723. The reversal of 145787712 is 217787541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145787711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89239 + ... + 90857.

Almost surely, 2145787712 is an apocalyptic number.

145787712 is a gapful number since it is divisible by the number (12) 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 145787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223845120).

145787712 is an abundant number, since it is smaller than the sum of its proper divisors (301902528).

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

145787712 is a wasteful number, since it uses less digits than its factorization.

145787712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1698 counting only the distinct ones).

The product of its digits is 109760, while the sum is 42.

The square root of 145787712 is about 12074.2582380865. The cubic root of 145787712 is about 526.3084063189.

The spelling of 145787712 in words is "one hundred forty-five million, seven hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 134 168 192 201 224 268 336 402 448 469 536 672 804 938 1072 1344 1407 1608 1619 1876 2144 2814 3216 3238 3752 4288 4857 5628 6432 6476 7504 9714 11256 11333 12864 12952 15008 19428 22512 22666 25904 30016 33999 38856 45024 45332 51808 67998 77712 90048 90664 103616 108473 135996 155424 181328 216946 271992 310848 325419 362656 433892 543984 650838 725312 759311 867784 1087968 1301676 1518622 1735568 2175936 2277933 2603352 3037244 3471136 4555866 5206704 6074488 6942272 9111732 10413408 12148976 18223464 20826816 24297952 36446928 48595904 72893856 145787712