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153988020 = 223351911493
BaseRepresentation
bin10010010110110…
…10101110110100
3101201202101212000
421023122232310
5303410104040
623140255300
73546606444
oct1113325664
9351671760
10153988020
1179a1652a
12436a1530
1325b97194
1416646124
15d7bb130
hex92dabb4

153988020 has 96 divisors (see below), whose sum is σ = 481904640. Its totient is φ = 40821120.

The previous prime is 153988001. The next prime is 153988033. The reversal of 153988020 is 20889351.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 102394 + ... + 103886.

It is an arithmetic number, because the mean of its divisors is an integer number (5019840).

Almost surely, 2153988020 is an apocalyptic number.

153988020 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 153988020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240952320).

153988020 is an abundant number, since it is smaller than the sum of its proper divisors (327916620).

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

153988020 is a wasteful number, since it uses less digits than its factorization.

153988020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 153988020 is about 12409.1909486477. The cubic root of 153988020 is about 535.9969415805.

The spelling of 153988020 in words is "one hundred fifty-three million, nine hundred eighty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 191 270 382 540 573 764 955 1146 1493 1719 1910 2292 2865 2986 3438 3820 4479 5157 5730 5972 6876 7465 8595 8958 10314 11460 13437 14930 17190 17916 20628 22395 25785 26874 29860 34380 40311 44790 51570 53748 67185 80622 89580 103140 134370 161244 201555 268740 285163 403110 570326 806220 855489 1140652 1425815 1710978 2566467 2851630 3421956 4277445 5132934 5703260 7699401 8554890 10265868 12832335 15398802 17109780 25664670 30797604 38497005 51329340 76994010 153988020