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630783072 = 2533732137
BaseRepresentation
bin100101100110001…
…111110001100000
31121221221002201000
4211212033301200
52242440024242
6142331512000
721426365463
oct4546176140
91557832630
10630783072
112a4073727
121572b8600
13a08b612a
145dabb2da
153a59da4c
hex2598fc60

630783072 has 144 divisors (see below), whose sum is σ = 1878947280. Its totient is φ = 205867008.

The previous prime is 630782969. The next prime is 630783103. The reversal of 630783072 is 270387036.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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, 4604188 + ... + 4604324.

It is an arithmetic number, because the mean of its divisors is an integer number (13048245).

Almost surely, 2630783072 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 630783072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939473640).

630783072 is an abundant number, since it is smaller than the sum of its proper divisors (1248164208).

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

630783072 is a wasteful number, since it uses less digits than its factorization.

630783072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 630783072 is about 25115.3951193287. The cubic root of 630783072 is about 857.6169251830.

The spelling of 630783072 in words is "six hundred thirty million, seven hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 137 144 146 216 219 274 288 292 411 432 438 548 584 657 822 864 876 1096 1168 1233 1314 1644 1752 1971 2192 2336 2466 2628 3288 3504 3699 3942 4384 4932 5256 5329 6576 7008 7398 7884 9864 10001 10512 10658 13152 14796 15768 15987 19728 20002 21024 21316 29592 30003 31536 31974 39456 40004 42632 47961 59184 60006 63072 63948 80008 85264 90009 95922 118368 120012 127896 143883 160016 170528 180018 191844 240024 255792 270027 287766 320032 360036 383688 480048 511584 540054 575532 720072 730073 767376 960096 1080108 1151064 1440144 1460146 1534752 2160216 2190219 2302128 2880288 2920292 4320432 4380438 4604256 5840584 6570657 8640864 8760876 11681168 13141314 17521752 19711971 23362336 26282628 35043504 39423942 52565256 70087008 78847884 105130512 157695768 210261024 315391536 630783072