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87402780 = 22335179521
BaseRepresentation
bin1010011010110…
…10100100011100
320002110112002000
411031122210130
5134333342110
612401202300
72110624413
oct515324434
9202415060
1087402780
1145378003
1225330390
1315152a2a
14b87247a
157a171c0
hex535a91c

87402780 has 96 divisors (see below), whose sum is σ = 287945280. Its totient is φ = 21934080.

The previous prime is 87402739. The next prime is 87402787. The reversal of 87402780 is 8720478.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87402787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4420 + ... + 13940.

It is an arithmetic number, because the mean of its divisors is an integer number (2999430).

Almost surely, 287402780 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 87402780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143972640).

87402780 is an abundant number, since it is smaller than the sum of its proper divisors (200542500).

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

87402780 is a wasteful number, since it uses less digits than its factorization.

87402780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9556 (or 9548 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87402780 is about 9348.9453950700. The cubic root of 87402780 is about 443.7875170290.

The spelling of 87402780 in words is "eighty-seven million, four hundred two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 9521 19042 28563 38084 47605 57126 85689 95210 114252 142815 161857 171378 190420 257067 285630 323714 342756 428445 485571 514134 571260 647428 809285 856890 971142 1028268 1285335 1456713 1618570 1713780 1942284 2427855 2570670 2913426 3237140 4370139 4855710 5141340 5826852 7283565 8740278 9711420 14567130 17480556 21850695 29134260 43701390 87402780