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210034140 = 22357379607
BaseRepresentation
bin11001000010011…
…01110111011100
3112122012211200020
430201031313130
5412232043030
632501432140
75130155301
oct1441156734
9478184606
10210034140
11a8616838
125a40b650
133468b574
141dc750a8
151368c510
hexc84dddc

210034140 has 96 divisors (see below), whose sum is σ = 604692480. Its totient is φ = 54452736.

The previous prime is 210034127. The next prime is 210034141. The reversal of 210034140 is 41430012.

It is a super-2 number, since 2×2100341402 = 88228679931079200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210034141) 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, 345717 + ... + 346323.

It is an arithmetic number, because the mean of its divisors is an integer number (6298880).

Almost surely, 2210034140 is an apocalyptic number.

210034140 is a gapful number since it is divisible by the number (20) 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 210034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302346240).

210034140 is an abundant number, since it is smaller than the sum of its proper divisors (394658340).

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

210034140 is a wasteful number, since it uses less digits than its factorization.

210034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 210034140 is about 14492.5546402282. The cubic root of 210034140 is about 594.4244039271.

Adding to 210034140 its reverse (41430012), we get a palindrome (251464152).

The spelling of 210034140 in words is "two hundred ten million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 79 146 158 219 237 292 316 365 395 438 474 607 730 790 876 948 1095 1185 1214 1460 1580 1821 2190 2370 2428 3035 3642 4380 4740 5767 6070 7284 9105 11534 12140 17301 18210 23068 28835 34602 36420 44311 47953 57670 69204 86505 88622 95906 115340 132933 143859 173010 177244 191812 221555 239765 265866 287718 346020 443110 479530 531732 575436 664665 719295 886220 959060 1329330 1438590 2658660 2877180 3500569 7001138 10501707 14002276 17502845 21003414 35005690 42006828 52508535 70011380 105017070 210034140