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87043440 = 24351132971
BaseRepresentation
bin1010011000000…
…10110101110000
320001210021011010
411030002311300
5134240342230
612345350520
72104566651
oct514026560
9201707133
1087043440
1145152030
1225198440
13150582c3
14b7bb528
1579959b0
hex5302d70

87043440 has 80 divisors (see below), whose sum is σ = 294374016. Its totient is φ = 21100800.

The previous prime is 87043399. The next prime is 87043447. The reversal of 87043440 is 4434078.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 87043398 and 87043407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87043447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13846 + ... + 19125.

Almost surely, 287043440 is an apocalyptic number.

87043440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87043440 is an abundant number, since it is smaller than the sum of its proper divisors (207330576).

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

87043440 is a wasteful number, since it uses less digits than its factorization.

87043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32998 (or 32992 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 87043440 is about 9329.7073909100. The cubic root of 87043440 is about 443.1784988288.

The spelling of 87043440 in words is "eighty-seven million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 32971 65942 98913 131884 164855 197826 263768 329710 362681 395652 494565 527536 659420 725362 791304 989130 1088043 1318840 1450724 1582608 1813405 1978260 2176086 2637680 2901448 3626810 3956520 4352172 5440215 5802896 7253620 7913040 8704344 10880430 14507240 17408688 21760860 29014480 43521720 87043440