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270990432 = 25323592621
BaseRepresentation
bin10000001001101…
…111110001100000
3200212220201222200
4100021233301200
51023333143212
642520133200
76500244366
oct2011576140
9625821880
10270990432
11129a70139
1276907200
13441b188b
1427dc1636
1518bcd6dc
hex1026fc60

270990432 has 72 divisors (see below), whose sum is σ = 773070480. Its totient is φ = 90044160.

The previous prime is 270990409. The next prime is 270990449. The reversal of 270990432 is 234099072.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102082 + ... + 104702.

It is an arithmetic number, because the mean of its divisors is an integer number (10737090).

Almost surely, 2270990432 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 270990432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386535240).

270990432 is an abundant number, since it is smaller than the sum of its proper divisors (502080048).

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

270990432 is a wasteful number, since it uses less digits than its factorization.

270990432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 270990432 is about 16461.7870232852. The cubic root of 270990432 is about 647.1197467213.

The spelling of 270990432 in words is "two hundred seventy million, nine hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 359 718 1077 1436 2154 2621 2872 3231 4308 5242 5744 6462 7863 8616 10484 11488 12924 15726 17232 20968 23589 25848 31452 34464 41936 47178 51696 62904 83872 94356 103392 125808 188712 251616 377424 754848 940939 1881878 2822817 3763756 5645634 7527512 8468451 11291268 15055024 16936902 22582536 30110048 33873804 45165072 67747608 90330144 135495216 270990432