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153390160 = 24571137673
BaseRepresentation
bin10010010010010…
…00110001010000
3101200122000202001
421021020301100
5303231441120
623115403344
73541536430
oct1111106120
9350560661
10153390160
1179648330
1243453554
1325a18011
141652c2c0
15d6ede0a
hex9248c50

153390160 has 160 divisors (see below), whose sum is σ = 457327872. Its totient is φ = 46448640.

The previous prime is 153390157. The next prime is 153390161. The reversal of 153390160 is 61093351.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153390161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227584 + ... + 228256.

Almost surely, 2153390160 is an apocalyptic number.

153390160 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 153390160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228663936).

153390160 is an abundant number, since it is smaller than the sum of its proper divisors (303937712).

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

153390160 is a wasteful number, since it uses less digits than its factorization.

153390160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 153390160 is about 12385.0781184456. The cubic root of 153390160 is about 535.3023707809.

The spelling of 153390160 in words is "one hundred fifty-three million, three hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 37 40 44 55 56 70 74 77 80 88 110 112 140 148 154 176 185 220 259 280 296 308 370 385 407 440 518 560 592 616 673 740 770 814 880 1036 1232 1295 1346 1480 1540 1628 2035 2072 2590 2692 2849 2960 3080 3256 3365 4070 4144 4711 5180 5384 5698 6160 6512 6730 7403 8140 9422 10360 10768 11396 13460 14245 14806 16280 18844 20720 22792 23555 24901 26920 28490 29612 32560 37015 37688 45584 47110 49802 51821 53840 56980 59224 74030 75376 94220 99604 103642 113960 118448 124505 148060 174307 188440 199208 207284 227920 249010 259105 273911 296120 348614 376880 398416 414568 498020 518210 547822 592240 697228 829136 871535 996040 1036420 1095644 1369555 1394456 1743070 1917377 1992080 2072840 2191288 2739110 2788912 3486140 3834754 4145680 4382576 5478220 6972280 7669508 9586885 10956440 13944560 15339016 19173770 21912880 30678032 38347540 76695080 153390160