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87701340 = 22351924049
BaseRepresentation
bin1010011101000…
…11011101011100
320010000200121210
411032203131130
5134422420330
612411424420
72113310016
oct516433534
9203020553
1087701340
1145561351
1225455110
13152288ac
14b90d1b6
157a758b0
hex53a375c

87701340 has 72 divisors (see below), whose sum is σ = 259232400. Its totient is φ = 22150656.

The previous prime is 87701333. The next prime is 87701357. The reversal of 87701340 is 4310778.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 87701298 and 87701307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19636 + ... + 23684.

It is an arithmetic number, because the mean of its divisors is an integer number (3600450).

Almost surely, 287701340 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 87701340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129616200).

87701340 is an abundant number, since it is smaller than the sum of its proper divisors (171531060).

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

87701340 is a wasteful number, since it uses less digits than its factorization.

87701340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 87701340 is about 9364.8993587758. The cubic root of 87701340 is about 444.2922554389.

The spelling of 87701340 in words is "eighty-seven million, seven hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4049 4332 5415 7220 8098 10830 12147 16196 20245 21660 24294 40490 48588 60735 76931 80980 121470 153862 230793 242940 307724 384655 461586 769310 923172 1153965 1461689 1538620 2307930 2923378 4385067 4615860 5846756 7308445 8770134 14616890 17540268 21925335 29233780 43850670 87701340