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87213240 = 23335233511
BaseRepresentation
bin1010011001011…
…00010010111000
320002002220002000
411030230102320
5134311310430
612353141000
72106205002
oct514542270
9202086060
1087213240
1145258664
122525a760
13150b768a
14b823372
1579cae60
hex532c4b8

87213240 has 128 divisors (see below), whose sum is σ = 303436800. Its totient is φ = 22239360.

The previous prime is 87213229. The next prime is 87213253. The reversal of 87213240 is 4231278.

It is a super-2 number, since 2×872132402 = 15212298462595200, which contains 22 as substring.

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

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, 23085 + ... + 26595.

It is an arithmetic number, because the mean of its divisors is an integer number (2370600).

Almost surely, 287213240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151718400).

87213240 is an abundant number, since it is smaller than the sum of its proper divisors (216223560).

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

87213240 is a wasteful number, since it uses less digits than its factorization.

87213240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 87213240 is about 9338.8029211457. The cubic root of 87213240 is about 443.4664884794.

The spelling of 87213240 in words is "eighty-seven million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 3511 4140 4968 6210 7022 8280 10533 12420 14044 17555 21066 24840 28088 31599 35110 42132 52665 63198 70220 80753 84264 94797 105330 126396 140440 157995 161506 189594 210660 242259 252792 315990 323012 379188 403765 421320 473985 484518 631980 646024 726777 758376 807530 947970 969036 1211295 1263960 1453554 1615060 1895940 1938072 2180331 2422590 2907108 3230120 3633885 3791880 4360662 4845180 5814216 7267770 8721324 9690360 10901655 14535540 17442648 21803310 29071080 43606620 87213240