Search a number
-
+
88440 = 23351167
BaseRepresentation
bin10101100101111000
311111022120
4111211320
510312230
61521240
7515562
oct254570
9144276
1088440
11604a0
1243220
1331341
1424332
151b310
hex15978

88440 has 64 divisors (see below), whose sum is σ = 293760. Its totient is φ = 21120.

The previous prime is 88427. The next prime is 88463. The reversal of 88440 is 4488.

It can be divided in two parts, 88 and 440, that added together give a triangular number (528 = T32).

88440 = T9 + T10 + ... + T80.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 88440.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88440.

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, 1287 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (4590).

288440 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 88440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880).

88440 is an abundant number, since it is smaller than the sum of its proper divisors (205320).

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

88440 is a wasteful number, since it uses less digits than its factorization.

88440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 88440 is about 297.3886346181. The cubic root of 88440 is about 44.5536112687.

The spelling of 88440 in words is "eighty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 165 201 220 264 268 330 335 402 440 536 660 670 737 804 1005 1320 1340 1474 1608 2010 2211 2680 2948 3685 4020 4422 5896 7370 8040 8844 11055 14740 17688 22110 29480 44220 88440