Search a number
-
+
73678680 = 23335174013
BaseRepresentation
bin1000110010000…
…11111101011000
312010122021011000
410121003331120
5122330204210
611151105000
71553154435
oct431037530
9163567130
1073678680
1138653979
1220812160
131235906a
149adcb8c
156705ac0
hex4643f58

73678680 has 128 divisors (see below), whose sum is σ = 260107200. Its totient is φ = 18487296.

The previous prime is 73678673. The next prime is 73678691. The reversal of 73678680 is 8687637.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16354 + ... + 20366.

Almost surely, 273678680 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 73678680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130053600).

73678680 is an abundant number, since it is smaller than the sum of its proper divisors (186428520).

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

73678680 is a wasteful number, since it uses less digits than its factorization.

73678680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 73678680 is about 8583.6286033355. The cubic root of 73678680 is about 419.2251018077.

The spelling of 73678680 in words is "seventy-three million, six hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4013 4590 6120 8026 9180 12039 16052 18360 20065 24078 32104 36117 40130 48156 60195 68221 72234 80260 96312 108351 120390 136442 144468 160520 180585 204663 216702 240780 272884 288936 341105 361170 409326 433404 481560 541755 545768 613989 682210 722340 818652 866808 1023315 1083510 1227978 1364420 1444680 1637304 1841967 2046630 2167020 2455956 2728840 3069945 3683934 4093260 4334040 4911912 6139890 7367868 8186520 9209835 12279780 14735736 18419670 24559560 36839340 73678680