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145787104 = 2517377243
BaseRepresentation
bin10001011000010…
…00100011100000
3101011022202022101
420230020203200
5244310141404
622244420144
73420112201
oct1054104340
9334282271
10145787104
1175325011
12409a7654
1324285478
141550d5a8
15cbeb2a4
hex8b088e0

145787104 has 48 divisors (see below), whose sum is σ = 312158448. Its totient is φ = 66742272.

The previous prime is 145787077. The next prime is 145787107. The reversal of 145787104 is 401787541.

145787104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145787107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16507 + ... + 23749.

It is an arithmetic number, because the mean of its divisors is an integer number (6503301).

Almost surely, 2145787104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145787104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156079224).

145787104 is an abundant number, since it is smaller than the sum of its proper divisors (166371344).

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

145787104 is a wasteful number, since it uses less digits than its factorization.

145787104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7307 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 145787104 is about 12074.2330605302. The cubic root of 145787104 is about 526.3076746707.

The spelling of 145787104 in words is "one hundred forty-five million, seven hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 2516 5032 7243 10064 14486 20128 28972 57944 115888 123131 231776 246262 267991 492524 535982 985048 1071964 1970096 2143928 3940192 4287856 4555847 8575712 9111694 18223388 36446776 72893552 145787104