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145045696 = 26191011181
BaseRepresentation
bin10001010010100…
…11100011000000
3101002221002021211
420221103203000
5244112430241
622220455504
73410603515
oct1051234300
9332832254
10145045696
1174968a84
12406aa594
1324085b73
141539930c
15cb01781
hex8a538c0

145045696 has 56 divisors (see below), whose sum is σ = 306232560. Its totient is φ = 67968000.

The previous prime is 145045673. The next prime is 145045721. The reversal of 145045696 is 696540541.

It is a happy number.

145045696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122226 + ... + 123406.

Almost surely, 2145045696 is an apocalyptic number.

145045696 is a gapful number since it is divisible by the number (16) 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 145045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153116280).

145045696 is an abundant number, since it is smaller than the sum of its proper divisors (161186864).

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

145045696 is a wasteful number, since it uses less digits than its factorization.

145045696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 145045696 is about 12043.4918524488. The cubic root of 145045696 is about 525.4139694877.

The spelling of 145045696 in words is "one hundred forty-five million, forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 152 202 304 404 608 808 1181 1216 1616 1919 2362 3232 3838 4724 6464 7676 9448 15352 18896 22439 30704 37792 44878 61408 75584 89756 119281 122816 179512 238562 359024 477124 718048 954248 1436096 1908496 2266339 3816992 4532678 7633984 9065356 18130712 36261424 72522848 145045696