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281052072 = 233371511231
BaseRepresentation
bin10000110000001…
…000001110101000
3201120211220222000
4100300020032220
51033422131242
643515531000
76651621540
oct2060101650
9646756860
10281052072
11134712644
127a159a60
13462c5502
1429480320
1519a19a4c
hex10c083a8

281052072 has 128 divisors (see below), whose sum is σ = 898867200. Its totient is φ = 79704000.

The previous prime is 281052061. The next prime is 281052091. The reversal of 281052072 is 270250182.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 227697 + ... + 228927.

It is an arithmetic number, because the mean of its divisors is an integer number (7022400).

Almost surely, 2281052072 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 281052072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449433600).

281052072 is an abundant number, since it is smaller than the sum of its proper divisors (617815128).

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

281052072 is a wasteful number, since it uses less digits than its factorization.

281052072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 281052072 is about 16764.6077198365. The cubic root of 281052072 is about 655.0316182317.

The spelling of 281052072 in words is "two hundred eighty-one million, fifty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 151 168 189 216 252 302 378 453 504 604 756 906 1057 1208 1231 1359 1512 1812 2114 2462 2718 3171 3624 3693 4077 4228 4924 5436 6342 7386 8154 8456 8617 9513 9848 10872 11079 12684 14772 16308 17234 19026 22158 25368 25851 28539 29544 32616 33237 34468 38052 44316 51702 57078 66474 68936 76104 77553 88632 103404 114156 132948 155106 185881 206808 228312 232659 265896 310212 371762 465318 557643 620424 743524 930636 1115286 1301167 1487048 1672929 1861272 2230572 2602334 3345858 3903501 4461144 5018787 5204668 6691716 7807002 10037574 10409336 11710503 13383432 15614004 20075148 23421006 31228008 35131509 40150296 46842012 70263018 93684024 140526036 281052072