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98137620 = 223257711097
BaseRepresentation
bin1011101100101…
…11011000010100
320211122220111200
411312113120110
5200110400440
613423232500
72301104340
oct566273024
9224586450
1098137620
115043a279
1228a48730
1317440bc9
14d068620
158937c30
hex5d97614

98137620 has 144 divisors (see below), whose sum is σ = 345316608. Its totient is φ = 22095360.

The previous prime is 98137601. The next prime is 98137631. The reversal of 98137620 is 2673189.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88912 + ... + 90008.

It is an arithmetic number, because the mean of its divisors is an integer number (2398032).

Almost surely, 298137620 is an apocalyptic number.

98137620 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 98137620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172658304).

98137620 is an abundant number, since it is smaller than the sum of its proper divisors (247178988).

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

98137620 is a wasteful number, since it uses less digits than its factorization.

98137620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 98137620 is about 9906.4433577344. The cubic root of 98137620 is about 461.2593405912.

The spelling of 98137620 in words is "ninety-eight million, one hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1097 1260 1278 1420 1491 1988 2130 2194 2485 2556 2982 3195 3291 4260 4388 4473 4970 5485 5964 6390 6582 7455 7679 8946 9873 9940 10970 12780 13164 14910 15358 16455 17892 19746 21940 22365 23037 29820 30716 32910 38395 39492 44730 46074 49365 65820 69111 76790 77887 89460 92148 98730 115185 138222 153580 155774 197460 230370 233661 276444 311548 345555 389435 460740 467322 545209 691110 700983 778870 934644 1090418 1168305 1382220 1401966 1557740 1635627 2180836 2336610 2726045 2803932 3271254 3504915 4673220 4906881 5452090 6542508 7009830 8178135 9813762 10904180 14019660 16356270 19627524 24534405 32712540 49068810 98137620