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145204500 = 22353713829
BaseRepresentation
bin10001010011110…
…10010100010100
3101010020011010110
420221322110110
5244133021000
622224123020
73412134510
oct1051722424
9333204113
10145204500
1174a67321
1240766470
132411022c
14153db140
15cb33850
hex8a7a514

145204500 has 96 divisors (see below), whose sum is σ = 483275520. Its totient is φ = 33187200.

The previous prime is 145204483. The next prime is 145204511. The reversal of 145204500 is 5402541.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3586 + ... + 17414.

It is an arithmetic number, because the mean of its divisors is an integer number (5034120).

Almost surely, 2145204500 is an apocalyptic number.

145204500 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 145204500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241637760).

145204500 is an abundant number, since it is smaller than the sum of its proper divisors (338071020).

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

145204500 is a wasteful number, since it uses less digits than its factorization.

145204500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13858 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 145204500 is about 12050.0829872661. The cubic root of 145204500 is about 525.6056502477.

The spelling of 145204500 in words is "one hundred forty-five million, two hundred four thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 2100 2625 3500 5250 10500 13829 27658 41487 55316 69145 82974 96803 138290 165948 193606 207435 276580 290409 345725 387212 414870 484015 580818 691450 829740 968030 1037175 1161636 1382900 1452045 1728625 1936060 2074350 2420075 2904090 3457250 4148700 4840150 5185875 5808180 6914500 7260225 9680300 10371750 12100375 14520450 20743500 24200750 29040900 36301125 48401500 72602250 145204500