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8420098140 = 22325193766541
BaseRepresentation
bin1111101011110000…
…01000000001011100
3210201210220022012200
413311320020001130
5114221021120030
63511303531500
7415441440036
oct76570100134
923653808180
108420098140
113630a203a3
12176ba59b90
13a425a06bc
1459c3c0c56
1534432dd60
hex1f5e0805c

8420098140 has 144 divisors (see below), whose sum is σ = 27612268320. Its totient is φ = 2069660160.

The previous prime is 8420098123. The next prime is 8420098187. The reversal of 8420098140 is 418900248.

8420098140 is a `hidden beast` number, since 8 + 420 + 0 + 98 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8420098095 and 8420098104.

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, 93270 + ... + 159810.

Almost surely, 28420098140 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 8420098140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806134160).

8420098140 is an abundant number, since it is smaller than the sum of its proper divisors (19192170180).

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

8420098140 is a wasteful number, since it uses less digits than its factorization.

8420098140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66612 (or 66607 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8420098140 is about 91761.0927354290. The cubic root of 8420098140 is about 2034.4126664789.

Adding to 8420098140 its reverse (418900248), we get a palindrome (8838998388).

The spelling of 8420098140 in words is "eight billion, four hundred twenty million, ninety-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 285 333 342 370 380 444 555 570 666 684 703 740 855 1110 1140 1332 1406 1665 1710 2109 2220 2812 3330 3420 3515 4218 6327 6660 7030 8436 10545 12654 14060 21090 25308 31635 42180 63270 66541 126540 133082 199623 266164 332705 399246 598869 665410 798492 998115 1197738 1264279 1330820 1996230 2395476 2462017 2528558 2994345 3792837 3992460 4924034 5057116 5988690 6321395 7386051 7585674 9848068 11378511 11977380 12310085 12642790 14772102 15171348 18964185 22158153 22757022 24620170 25285580 29544204 36930255 37928370 44316306 45514044 46778323 49240340 56892555 73860510 75856740 88632612 93556646 110790765 113785110 140334969 147721020 187113292 221581530 227570220 233891615 280669938 421004907 443163060 467783230 561339876 701674845 842009814 935566460 1403349690 1684019628 2105024535 2806699380 4210049070 8420098140