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98427960 = 23345171787
BaseRepresentation
bin1011101110111…
…10010000111000
320212012122210000
411313132100320
5200144143320
613433353000
72303423661
oct567362070
9225178700
1098427960
1150618424
1228b68760
13175130c7
14d102368
158993c90
hex5dde438

98427960 has 160 divisors (see below), whose sum is σ = 350483760. Its totient is φ = 24689664.

The previous prime is 98427947. The next prime is 98427997. The reversal of 98427960 is 6972489.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54187 + ... + 55973.

Almost surely, 298427960 is an apocalyptic number.

98427960 is a gapful number since it is divisible by the number (90) 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 98427960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175241880).

98427960 is an abundant number, since it is smaller than the sum of its proper divisors (252055800).

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

98427960 is a wasteful number, since it uses less digits than its factorization.

98427960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 98427960 is about 9921.0866340336. The cubic root of 98427960 is about 461.7137710948.

The spelling of 98427960 in words is "ninety-eight million, four hundred twenty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1787 1836 2040 2295 2754 3060 3240 3574 3672 4590 5361 5508 6120 6885 7148 8935 9180 10722 11016 13770 14296 16083 17870 18360 21444 26805 27540 30379 32166 35740 42888 48249 53610 55080 60758 64332 71480 80415 91137 96498 107220 121516 128664 144747 151895 160830 182274 192996 214440 241245 243032 273411 289494 303790 321660 364548 385992 455685 482490 546822 578988 607580 643320 723735 729096 820233 911370 964980 1093644 1157976 1215160 1367055 1447470 1640466 1822740 1929960 2187288 2460699 2734110 2894940 3280932 3645480 4101165 4921398 5468220 5789880 6561864 8202330 9842796 10936440 12303495 16404660 19685592 24606990 32809320 49213980 98427960