Search a number
-
+
98129880 = 2334531977
BaseRepresentation
bin1011101100101…
…01011111011000
320211122111220000
411312111133120
5200110124010
613423133000
72301042642
oct566253730
9224574800
1098129880
1150434482
1228a44160
131743a524
14d065892
1589357c0
hex5d957d8

98129880 has 160 divisors (see below), whose sum is σ = 340813440. Its totient is φ = 25297920.

The previous prime is 98129861. The next prime is 98129893. The reversal of 98129880 is 8892189.

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, 99952 + ... + 100928.

It is an arithmetic number, because the mean of its divisors is an integer number (2130084).

Almost surely, 298129880 is an apocalyptic number.

98129880 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 98129880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170406720).

98129880 is an abundant number, since it is smaller than the sum of its proper divisors (242683560).

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

98129880 is a wasteful number, since it uses less digits than its factorization.

98129880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 98129880 is about 9906.0526951960. The cubic root of 98129880 is about 461.2472139431.

The spelling of 98129880 in words is "ninety-eight million, one hundred twenty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 248 270 279 310 324 360 372 405 465 540 558 620 648 744 810 837 930 977 1080 1116 1240 1395 1620 1674 1860 1954 2232 2511 2790 2931 3240 3348 3720 3908 4185 4885 5022 5580 5862 6696 7816 8370 8793 9770 10044 11160 11724 12555 14655 16740 17586 19540 20088 23448 25110 26379 29310 30287 33480 35172 39080 43965 50220 52758 58620 60574 70344 79137 87930 90861 100440 105516 117240 121148 131895 151435 158274 175860 181722 211032 242296 263790 272583 302870 316548 351720 363444 395685 454305 527580 545166 605740 633096 726888 791370 817749 908610 1055160 1090332 1211480 1362915 1582740 1635498 1817220 2180664 2453247 2725830 3165480 3270996 3634440 4088745 4906494 5451660 6541992 8177490 9812988 10903320 12266235 16354980 19625976 24532470 32709960 49064940 98129880