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145242032 = 24134783179
BaseRepresentation
bin10001010100000…
…11011110110000
3101010022001121112
420222003132300
5244140221112
622225012452
73412352105
oct1052033660
9333261545
10145242032
1174a92541
1240784128
1324124340
141540aaac
15cb3ea22
hex8a837b0

145242032 has 80 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 64455936.

The previous prime is 145242029. The next prime is 145242043. The reversal of 145242032 is 230242541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 145241989 and 145242007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811319 + ... + 811497.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2145242032 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 145242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

145242032 is an abundant number, since it is smaller than the sum of its proper divisors (169737808).

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

145242032 is a wasteful number, since it uses less digits than its factorization.

145242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 145242032 is about 12051.6402203186. The cubic root of 145242032 is about 525.6509319753.

Adding to 145242032 its reverse (230242541), we get a palindrome (375484573).

The spelling of 145242032 in words is "one hundred forty-five million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 47 52 83 94 104 166 179 188 208 332 358 376 611 664 716 752 1079 1222 1328 1432 2158 2327 2444 2864 3901 4316 4654 4888 7802 8413 8632 9308 9776 14857 15604 16826 17264 18616 29714 31208 33652 37232 50713 59428 62416 67304 101426 109369 118856 134608 193141 202852 218738 237712 386282 405704 437476 698279 772564 811408 874952 1396558 1545128 1749904 2793116 3090256 5586232 9077627 11172464 18155254 36310508 72621016 145242032