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198037840 = 245711132473
BaseRepresentation
bin10111100110111…
…01000101010000
3111210122100211211
423303131011100
5401144202330
631352345504
74623202540
oct1363350520
9453570754
10198037840
11a1872840
12563a5294
133204b170
141c431320
15125bcd2a
hexbcdd150

198037840 has 160 divisors (see below), whose sum is σ = 618460416. Its totient is φ = 56954880.

The previous prime is 198037823. The next prime is 198037877. The reversal of 198037840 is 48730891.

198037840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 198037793 and 198037802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78844 + ... + 81316.

Almost surely, 2198037840 is an apocalyptic number.

198037840 is a gapful number since it is divisible by the number (10) 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 198037840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309230208).

198037840 is an abundant number, since it is smaller than the sum of its proper divisors (420422576).

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

198037840 is a wasteful number, since it uses less digits than its factorization.

198037840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 198037840 is about 14072.5918010863. The cubic root of 198037840 is about 582.8847955153.

The spelling of 198037840 in words is "one hundred ninety-eight million, thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2473 2860 3080 3640 4004 4946 5005 5720 6160 7280 8008 9892 10010 11440 12365 16016 17311 19784 20020 24730 27203 32149 34622 39568 40040 49460 54406 64298 69244 80080 86555 98920 108812 128596 136015 138488 160745 173110 190421 197840 217624 225043 257192 272030 276976 321490 346220 353639 380842 435248 450086 514384 544060 642980 692440 707278 761684 900172 952105 1088120 1125215 1285960 1384880 1414556 1523368 1768195 1800344 1904210 2176240 2250430 2475473 2571920 2829112 3046736 3536390 3600688 3808420 4500860 4950946 5658224 7072780 7616840 9001720 9901892 12377365 14145560 15233680 18003440 19803784 24754730 28291120 39607568 49509460 99018920 198037840