Search a number
-
+
87646340 = 22537831427
BaseRepresentation
bin1010011100101…
…10000010000100
320002220220011202
411032112002010
5134414140330
612410322032
72112660455
oct516260204
9202826152
1087646340
1145523aa1
1225429318
1315209852
14b8d712c
157a64445
hex5396084

87646340 has 48 divisors (see below), whose sum is σ = 191443392. Its totient is φ = 33676416.

The previous prime is 87646337. The next prime is 87646369. The reversal of 87646340 is 4364678.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87646294 and 87646303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60707 + ... + 62133.

It is an arithmetic number, because the mean of its divisors is an integer number (3988404).

Almost surely, 287646340 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 87646340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95721696).

87646340 is an abundant number, since it is smaller than the sum of its proper divisors (103797052).

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

87646340 is a wasteful number, since it uses less digits than its factorization.

87646340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 87646340 is about 9361.9624011208. The cubic root of 87646340 is about 444.1993599217.

The spelling of 87646340 in words is "eighty-seven million, six hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 83 148 166 185 332 370 415 740 830 1427 1660 2854 3071 5708 6142 7135 12284 14270 15355 28540 30710 52799 61420 105598 118441 211196 236882 263995 473764 527990 592205 1055980 1184410 2368820 4382317 8764634 17529268 21911585 43823170 87646340