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145644200 = 235213231139
BaseRepresentation
bin10001010111001…
…01101010101000
3101011001111021122
420223211222220
5244241103300
622241354412
73415645442
oct1053455250
9334044248
10145644200
1175237709
1240938a08
1324235400
14154b3492
15cbbdc85
hex8ae5aa8

145644200 has 144 divisors (see below), whose sum is σ = 381225600. Its totient is φ = 51667200.

The previous prime is 145644197. The next prime is 145644203. The reversal of 145644200 is 2446541.

It is an interprime number because it is at equal distance from previous prime (145644197) and next prime (145644203).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 145644200.

It is not an unprimeable number, because it can be changed into a prime (145644203) 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 35 ways as a sum of consecutive naturals, for example, 1047731 + ... + 1047869.

It is an arithmetic number, because the mean of its divisors is an integer number (2647400).

Almost surely, 2145644200 is an apocalyptic number.

145644200 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 145644200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190612800).

145644200 is an abundant number, since it is smaller than the sum of its proper divisors (235581400).

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

145644200 is a wasteful number, since it uses less digits than its factorization.

145644200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 145644200 is about 12068.3138838862. The cubic root of 145644200 is about 526.1356520021.

The spelling of 145644200 in words is "one hundred forty-five million, six hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 139 155 169 200 248 260 278 310 325 338 403 520 556 620 650 676 695 775 806 845 1112 1240 1300 1352 1390 1550 1612 1690 1807 2015 2600 2780 3100 3224 3380 3475 3614 4030 4225 4309 5239 5560 6200 6760 6950 7228 8060 8450 8618 9035 10075 10478 13900 14456 16120 16900 17236 18070 20150 20956 21545 23491 26195 27800 33800 34472 36140 40300 41912 43090 45175 46982 52390 56017 72280 80600 86180 90350 93964 104780 107725 112034 117455 130975 172360 180700 187928 209560 215450 224068 234910 261950 280085 361400 430900 448136 469820 523900 560170 587275 728221 861800 939640 1047800 1120340 1174550 1400425 1456442 2240680 2349100 2800850 2912884 3641105 4698200 5601700 5825768 7282210 11203400 14564420 18205525 29128840 36411050 72822100 145644200