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145689480 = 23325404693
BaseRepresentation
bin10001010111100…
…00101110001000
3101011010210101200
420223300232020
5244244030410
622242344200
73416224446
oct1053605610
9334123350
10145689480
1175268732
124095b060
132424cbc1
14154c5b96
15cbcc3c0
hex8af0b88

145689480 has 48 divisors (see below), whose sum is σ = 473491980. Its totient is φ = 38850432.

The previous prime is 145689463. The next prime is 145689493. The reversal of 145689480 is 84986541.

145689480 is a `hidden beast` number, since 1 + 4 + 568 + 9 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145588356 + 101124 = 12066^2 + 318^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201987 + ... + 202706.

Almost surely, 2145689480 is an apocalyptic number.

145689480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145689480 is an abundant number, since it is smaller than the sum of its proper divisors (327802500).

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

145689480 is a wasteful number, since it uses less digits than its factorization.

145689480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404710 (or 404703 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 145689480 is about 12070.1897251037. The cubic root of 145689480 is about 526.1901706027.

The spelling of 145689480 in words is "one hundred forty-five million, six hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 404693 809386 1214079 1618772 2023465 2428158 3237544 3642237 4046930 4856316 6070395 7284474 8093860 9712632 12140790 14568948 16187720 18211185 24281580 29137896 36422370 48563160 72844740 145689480