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145280016 = 243271011427
BaseRepresentation
bin10001010100011…
…00110000010000
3101010100222201100
420222030300100
5244142430031
622225504400
73412600620
oct1052146020
9333328640
10145280016
1175009032
12407a2100
132413870b
141541a880
15cb4ade6
hex8a8cc10

145280016 has 120 divisors (see below), whose sum is σ = 469594944. Its totient is φ = 41068800.

The previous prime is 145279997. The next prime is 145280021. The reversal of 145280016 is 610082541.

It is a super-2 number, since 2×1452800162 = 42212566097920512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101095 + ... + 102521.

Almost surely, 2145280016 is an apocalyptic number.

145280016 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 145280016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234797472).

145280016 is an abundant number, since it is smaller than the sum of its proper divisors (324314928).

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

145280016 is a wasteful number, since it uses less digits than its factorization.

145280016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 145280016 is about 12053.2160023788. The cubic root of 145280016 is about 525.6967510917.

The spelling of 145280016 in words is "one hundred forty-five million, two hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 101 112 126 144 168 202 252 303 336 404 504 606 707 808 909 1008 1212 1414 1427 1616 1818 2121 2424 2828 2854 3636 4242 4281 4848 5656 5708 6363 7272 8484 8562 9989 11312 11416 12726 12843 14544 16968 17124 19978 22832 25452 25686 29967 33936 34248 39956 50904 51372 59934 68496 79912 89901 101808 102744 119868 144127 159824 179802 205488 239736 288254 359604 432381 479472 576508 719208 864762 1008889 1153016 1297143 1438416 1729524 2017778 2306032 2594286 3026667 3459048 4035556 5188572 6053334 6918096 8071112 9080001 10377144 12106668 16142224 18160002 20754288 24213336 36320004 48426672 72640008 145280016