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90280704 = 2831923269
BaseRepresentation
bin1010110000110…
…01001100000000
320021212201211210
411120121030000
5141102440304
612543010120
72144242023
oct530311400
9207781753
1090280704
1146a63258
1226299940
131591c947
14bdc11ba
157dd4c89
hex5619300

90280704 has 144 divisors (see below), whose sum is σ = 264902400. Its totient is φ = 27168768.

The previous prime is 90280651. The next prime is 90280717. The reversal of 90280704 is 40708209.

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, 335482 + ... + 335750.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 290280704 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 90280704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132451200).

90280704 is an abundant number, since it is smaller than the sum of its proper divisors (174621696).

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

90280704 is a wasteful number, since it uses less digits than its factorization.

90280704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 90280704 is about 9501.6158625783. The cubic root of 90280704 is about 448.6058978707.

The spelling of 90280704 in words is "ninety million, two hundred eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 269 276 304 368 384 437 456 538 552 608 736 768 807 874 912 1076 1104 1216 1311 1472 1614 1748 1824 2152 2208 2432 2622 2944 3228 3496 3648 4304 4416 4864 5111 5244 5888 6187 6456 6992 7296 8608 8832 10222 10488 12374 12912 13984 14592 15333 17216 17664 18561 20444 20976 24748 25824 27968 30666 34432 37122 40888 41952 49496 51648 55936 61332 68864 74244 81776 83904 98992 103296 111872 117553 122664 148488 163552 167808 197984 206592 235106 245328 296976 327104 335616 352659 395968 470212 490656 593952 654208 705318 791936 940424 981312 1187904 1308416 1410636 1583872 1880848 1962624 2375808 2821272 3761696 3925248 4751616 5642544 7523392 11285088 15046784 22570176 30093568 45140352 90280704