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283397040 = 243253112697
BaseRepresentation
bin10000111001000…
…100101110110000
3201202021001122200
4100321010232300
51040022201130
644042103200
710010556303
oct2071045660
9652231580
10283397040
11135a74433
127aaaab00
1346936974
14298d0b3a
1519d2e760
hex10e44bb0

283397040 has 120 divisors (see below), whose sum is σ = 982520448. Its totient is φ = 73128960.

The previous prime is 283397039. The next prime is 283397087. The reversal of 283397040 is 40793382.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 283396986 and 283397004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15972 + ... + 28668.

Almost surely, 2283397040 is an apocalyptic number.

283397040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283397040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491260224).

283397040 is an abundant number, since it is smaller than the sum of its proper divisors (699123408).

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

283397040 is a wasteful number, since it uses less digits than its factorization.

283397040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12747 (or 12738 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 283397040 is about 16834.4004942261. The cubic root of 283397040 is about 656.8483348476.

The spelling of 283397040 in words is "two hundred eighty-three million, three hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 12697 22320 25394 38091 50788 63485 76182 101576 114273 126970 152364 190455 203152 228546 253940 304728 380910 393607 457092 507880 571365 609456 761820 787214 914184 1015760 1142730 1180821 1523640 1574428 1828368 1968035 2285460 2361642 3047280 3148856 3542463 3936070 4570920 4723284 5904105 6297712 7084926 7872140 9141840 9446568 11808210 14169852 15744280 17712315 18893136 23616420 28339704 31488560 35424630 47232840 56679408 70849260 94465680 141698520 283397040