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145404600 = 233521122031
BaseRepresentation
bin10001010101010…
…11001010111000
3101010121022121120
420222223022320
5244210421400
622232305240
73413630055
oct1052531270
9333538546
10145404600
11750936a0
1240842220
1324180333
141545002c
15cb72ca0
hex8aab2b8

145404600 has 96 divisors (see below), whose sum is σ = 491754240. Its totient is φ = 35248000.

The previous prime is 145404593. The next prime is 145404607. The reversal of 145404600 is 6404541.

It is an interprime number because it is at equal distance from previous prime (145404593) and next prime (145404607).

It is a super-2 number, since 2×1454046002 = 42284995402320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145404607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4416 + ... + 17615.

It is an arithmetic number, because the mean of its divisors is an integer number (5122440).

Almost surely, 2145404600 is an apocalyptic number.

145404600 is a gapful number since it is divisible by the number (10) 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 145404600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245877120).

145404600 is an abundant number, since it is smaller than the sum of its proper divisors (346349640).

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

145404600 is a wasteful number, since it uses less digits than its factorization.

145404600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22061 (or 22052 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 145404600 is about 12058.3829761706. The cubic root of 145404600 is about 525.8469775156.

The spelling of 145404600 in words is "one hundred forty-five million, four hundred four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 22031 44062 66093 88124 110155 132186 176248 220310 242341 264372 330465 440620 484682 528744 550775 660930 727023 881240 969364 1101550 1211705 1321860 1454046 1652325 1938728 2203100 2423410 2643720 2908092 3304650 3635115 4406200 4846820 5816184 6058525 6609300 7270230 9693640 12117050 13218600 14540460 18175575 24234100 29080920 36351150 48468200 72702300 145404600