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98388420 = 223513231313
BaseRepresentation
bin1011101110101…
…00100111000100
320212010122112120
411313110213010
5200141412140
613432445540
72303200464
oct567244704
9225118476
1098388420
11505a0749
1228b498b0
13174cb100
14d0d1ba4
1589871d0
hex5dd49c4

98388420 has 144 divisors (see below), whose sum is σ = 308915712. Its totient is φ = 23362560.

The previous prime is 98388419. The next prime is 98388421. The reversal of 98388420 is 2488389.

98388420 = T165 + T166 + ... + T840.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98388419) and next prime (98388421).

It is a super-3 number, since 3×983884203 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (98388421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314184 + ... + 314496.

It is an arithmetic number, because the mean of its divisors is an integer number (2145248).

Almost surely, 298388420 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 98388420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154457856).

98388420 is an abundant number, since it is smaller than the sum of its proper divisors (210527292).

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

98388420 is a wasteful number, since it uses less digits than its factorization.

98388420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 98388420 is about 9919.0937086006. The cubic root of 98388420 is about 461.6519370128.

The spelling of 98388420 in words is "ninety-eight million, three hundred eighty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 169 186 195 260 310 313 338 372 390 403 465 507 620 626 676 780 806 845 930 939 1014 1209 1252 1565 1612 1690 1860 1878 2015 2028 2418 2535 3130 3380 3756 4030 4069 4695 4836 5070 5239 6045 6260 8060 8138 9390 9703 10140 10478 12090 12207 15717 16276 18780 19406 20345 20956 24180 24414 26195 29109 31434 38812 40690 48515 48828 52390 52897 58218 61035 62868 78585 81380 97030 104780 105794 116436 122070 126139 145545 157170 158691 194060 211588 244140 252278 264485 291090 314340 317382 378417 504556 528970 582180 630695 634764 756834 793455 1057940 1261390 1513668 1586910 1639807 1892085 2522780 3173820 3279614 3784170 4919421 6559228 7568340 8199035 9838842 16398070 19677684 24597105 32796140 49194210 98388420