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98168720 = 24513253137
BaseRepresentation
bin1011101100111…
…10111110010000
320211201111011112
411312132332100
5200112344340
613424032452
72301264116
oct566367620
9224644145
1098168720
1150460681
1228a62728
1317452100
14d075ab6
158942065
hex5d9ef90

98168720 has 120 divisors (see below), whose sum is σ = 253651176. Its totient is φ = 35303424.

The previous prime is 98168717. The next prime is 98168737. The reversal of 98168720 is 2786189.

It can be written as a sum of positive squares in 12 ways, for example, as 40347904 + 57820816 = 6352^2 + 7604^2 .

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, 716492 + ... + 716628.

Almost surely, 298168720 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 98168720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126825588).

98168720 is an abundant number, since it is smaller than the sum of its proper divisors (155482456).

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

98168720 is a wasteful number, since it uses less digits than its factorization.

98168720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 98168720 is about 9908.0129188450. The cubic root of 98168720 is about 461.3080601017.

The spelling of 98168720 in words is "ninety-eight million, one hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 137 169 208 212 260 265 274 338 424 520 530 548 676 685 689 845 848 1040 1060 1096 1352 1370 1378 1690 1781 2120 2192 2704 2740 2756 3380 3445 3562 4240 5480 5512 6760 6890 7124 7261 8905 8957 10960 11024 13520 13780 14248 14522 17810 17914 23153 27560 28496 29044 35620 35828 36305 44785 46306 55120 58088 71240 71656 72610 89570 92612 94393 115765 116176 142480 143312 145220 179140 185224 188786 231530 290440 358280 370448 377572 463060 471965 580880 716560 755144 926120 943930 1227109 1510288 1852240 1887860 2454218 3775720 4908436 6135545 7551440 9816872 12271090 19633744 24542180 49084360 98168720