Search a number
-
+
88140540 = 223543127269
BaseRepresentation
bin1010100000011…
…10101011111100
320010212000002110
411100032223330
5140030444130
612425054020
72120116335
oct520165374
9203760073
1088140540
1145831324
1225627310
1315350787
14b9c528c
157b10ab0
hex540eafc

88140540 has 96 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 22692096.

The previous prime is 88140539. The next prime is 88140551. The reversal of 88140540 is 4504188.

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 = 88140498 and 88140507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327526 + ... + 327794.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 288140540 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 88140540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

88140540 is an abundant number, since it is smaller than the sum of its proper divisors (167326980).

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

88140540 is a wasteful number, since it uses less digits than its factorization.

88140540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 88140540 is about 9388.3193384120. The cubic root of 88140540 is about 445.0326786590.

The spelling of 88140540 in words is "eighty-eight million, one hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 127 129 172 215 254 258 269 381 430 508 516 538 635 645 762 807 860 1076 1270 1290 1345 1524 1614 1905 2540 2580 2690 3228 3810 4035 5380 5461 7620 8070 10922 11567 16140 16383 21844 23134 27305 32766 34163 34701 46268 54610 57835 65532 68326 69402 81915 102489 109220 115670 136652 138804 163830 170815 173505 204978 231340 327660 341630 347010 409956 512445 683260 694020 1024890 1469009 2049780 2938018 4407027 5876036 7345045 8814054 14690090 17628108 22035135 29380180 44070270 88140540