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145213500 = 22353131739
BaseRepresentation
bin10001010011111…
…00100000111100
3101010020121110210
420221330200330
5244133313000
622224232420
73412202655
oct1051744074
9333217423
10145213500
1174a73063
124076b710
1324114363
141540052c
15cb36350
hex8a7c83c

145213500 has 96 divisors (see below), whose sum is σ = 426666240. Its totient is φ = 38376000.

The previous prime is 145213499. The next prime is 145213543. The reversal of 145213500 is 5312541.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 196131 + ... + 196869.

It is an arithmetic number, because the mean of its divisors is an integer number (4444440).

Almost surely, 2145213500 is an apocalyptic number.

145213500 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 145213500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213333120).

145213500 is an abundant number, since it is smaller than the sum of its proper divisors (281452740).

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

145213500 is a wasteful number, since it uses less digits than its factorization.

145213500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 145213500 is about 12050.4564228912. The cubic root of 145213500 is about 525.6165093077.

The spelling of 145213500 in words is "one hundred forty-five million, two hundred thirteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 131 150 250 262 300 375 393 500 524 655 739 750 786 1310 1478 1500 1572 1965 2217 2620 2956 3275 3695 3930 4434 6550 7390 7860 8868 9825 11085 13100 14780 16375 18475 19650 22170 32750 36950 39300 44340 49125 55425 65500 73900 92375 96809 98250 110850 184750 193618 196500 221700 277125 290427 369500 387236 484045 554250 580854 968090 1108500 1161708 1452135 1936180 2420225 2904270 4840450 5808540 7260675 9680900 12101125 14521350 24202250 29042700 36303375 48404500 72606750 145213500