Search a number
-
+
73870020 = 223257232549
BaseRepresentation
bin1000110011100…
…10101011000100
312010222222121200
410121302223010
5122402320040
611155142500
71554612330
oct431625304
9163888550
1073870020
1138774704
12208a4a30
13123c5193
149b4c7c0
156742630
hex4672ac4

73870020 has 144 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 16144128.

The previous prime is 73870009. The next prime is 73870031. The reversal of 73870020 is 2007837.

It is an interprime number because it is at equal distance from previous prime (73870009) and next prime (73870031).

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, 27706 + ... + 30254.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 273870020 is an apocalyptic number.

73870020 is a gapful number since it is divisible by the number (70) 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 73870020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

73870020 is an abundant number, since it is smaller than the sum of its proper divisors (193451580).

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

73870020 is a wasteful number, since it uses less digits than its factorization.

73870020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 73870020 is about 8594.7670125490. The cubic root of 73870020 is about 419.5876906109.

Adding to 73870020 its reverse (2007837), we get a palindrome (75877857).

It can be divided in two parts, 738700 and 20, that added together give a triangular number (738720 = T1215).

The spelling of 73870020 in words is "seventy-three million, eight hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2549 2898 3220 4140 4830 5098 5796 7245 7647 9660 10196 12745 14490 15294 17843 22941 25490 28980 30588 35686 38235 45882 50980 53529 58627 71372 76470 89215 91764 107058 114705 117254 152940 160587 175881 178430 214116 229410 234508 267645 293135 321174 351762 356860 410389 458820 527643 535290 586270 642348 703524 802935 820778 879405 1055286 1070580 1172540 1231167 1605870 1641556 1758810 2051945 2110572 2462334 2638215 3211740 3517620 3693501 4103890 4924668 5276430 6155835 7387002 8207780 10552860 12311670 14774004 18467505 24623340 36935010 73870020