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210153150 = 23352179157
BaseRepresentation
bin11001000011010…
…10111010111110
3112122102212221000
430201222322332
5412244400100
632504151130
75131162254
oct1441527276
9478385830
10210153150
11a8698199
125a4684a6
133470079c
141dca65d4
15136b2900
hexc86aebe

210153150 has 96 divisors (see below), whose sum is σ = 613219680. Its totient is φ = 52738560.

The previous prime is 210153143. The next prime is 210153157. The reversal of 210153150 is 51351012.

It is an interprime number because it is at equal distance from previous prime (210153143) and next prime (210153157).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210153157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18372 + ... + 27528.

It is an arithmetic number, because the mean of its divisors is an integer number (6387705).

Almost surely, 2210153150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210153150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306609840).

210153150 is an abundant number, since it is smaller than the sum of its proper divisors (403066530).

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

210153150 is a wasteful number, since it uses less digits than its factorization.

210153150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9195 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 210153150 is about 14496.6599601425. The cubic root of 210153150 is about 594.5366540770.

The spelling of 210153150 in words is "two hundred ten million, one hundred fifty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 85 90 102 135 150 153 170 225 255 270 306 425 450 459 510 675 765 850 918 1275 1350 1530 2295 2550 3825 4590 7650 9157 11475 18314 22950 27471 45785 54942 82413 91570 137355 155669 164826 228925 247239 274710 311338 412065 457850 467007 494478 686775 778345 824130 934014 1236195 1373550 1401021 1556690 2060325 2335035 2472390 2802042 3891725 4120650 4203063 4670070 6180975 7005105 7783450 8406126 11675175 12361950 14010210 21015315 23350350 35025525 42030630 70051050 105076575 210153150