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87972030 = 23257912373
BaseRepresentation
bin1010011111001…
…01100010111110
320010112102221100
411033211202332
5140010101110
612421313530
72115515136
oct517454276
9203472840
1087972030
1145726763
12255658a6
13152c1b73
14b97dac6
157acabc0
hex53e58be

87972030 has 48 divisors (see below), whose sum is σ = 231641280. Its totient is φ = 23160384.

The previous prime is 87971999. The next prime is 87972037. The reversal of 87972030 is 3027978.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87972037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924 + ... + 13296.

It is an arithmetic number, because the mean of its divisors is an integer number (4825860).

Almost surely, 287972030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87972030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115820640).

87972030 is an abundant number, since it is smaller than the sum of its proper divisors (143669250).

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

87972030 is a wasteful number, since it uses less digits than its factorization.

87972030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12465 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 87972030 is about 9379.3405951591. The cubic root of 87972030 is about 444.7488883300.

The spelling of 87972030 in words is "eighty-seven million, nine hundred seventy-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 7110 12373 24746 37119 61865 74238 111357 123730 185595 222714 371190 556785 977467 1113570 1954934 2932401 4887335 5864802 8797203 9774670 14662005 17594406 29324010 43986015 87972030