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87234030 = 23351329857
BaseRepresentation
bin1010011001100…
…01010111101110
320002010221121000
411030301113232
5134312442110
612353421130
72106322422
oct514612756
9202127530
1087234030
1145272244
122526a7a6
13150c3c90
14b82ab82
1579d21c0
hex53315ee

87234030 has 128 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 20708352.

The previous prime is 87234013. The next prime is 87234053. The reversal of 87234030 is 3043278.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 87233985 and 87234003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101362 + ... + 102218.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 287234030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87234030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

87234030 is an abundant number, since it is smaller than the sum of its proper divisors (172225170).

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

87234030 is a wasteful number, since it uses less digits than its factorization.

87234030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 87234030 is about 9339.9159525126. The cubic root of 87234030 is about 443.5017237097.

The spelling of 87234030 in words is "eighty-seven million, two hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 29 30 39 45 54 58 65 78 87 90 117 130 135 145 174 195 234 261 270 290 351 377 390 435 522 585 702 754 783 857 870 1131 1170 1305 1566 1714 1755 1885 2262 2571 2610 3393 3510 3770 3915 4285 5142 5655 6786 7713 7830 8570 10179 11141 11310 12855 15426 16965 20358 22282 23139 24853 25710 33423 33930 38565 46278 49706 50895 55705 66846 74559 77130 100269 101790 111410 115695 124265 149118 167115 200538 223677 231390 248530 300807 323089 334230 372795 447354 501345 601614 646178 671031 745590 969267 1002690 1118385 1342062 1504035 1615445 1938534 2236770 2907801 3008070 3230890 3355155 4846335 5815602 6710310 8723403 9692670 14539005 17446806 29078010 43617015 87234030