Search a number
-
+
73997880 = 23351161919
BaseRepresentation
bin1000110100100…
…01111000111000
312011020111000020
410122101320320
5122420413010
611202010440
71555654155
oct432217070
9164214006
1073997880
1138851780
1220946a20
131243b438
149b8322c
15676a470
hex4691e38

73997880 has 128 divisors (see below), whose sum is σ = 246412800. Its totient is φ = 17625600.

The previous prime is 73997873. The next prime is 73997927. The reversal of 73997880 is 8879937.

It is a happy number.

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, 80061 + ... + 80979.

It is an arithmetic number, because the mean of its divisors is an integer number (1925100).

Almost surely, 273997880 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 73997880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123206400).

73997880 is an abundant number, since it is smaller than the sum of its proper divisors (172414920).

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

73997880 is a wasteful number, since it uses less digits than its factorization.

73997880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 73997880 is about 8602.2020436630. The cubic root of 73997880 is about 419.8296361204.

The spelling of 73997880 in words is "seventy-three million, nine hundred ninety-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 165 183 220 244 264 305 330 366 440 488 610 660 671 732 915 919 1220 1320 1342 1464 1830 1838 2013 2440 2684 2757 3355 3660 3676 4026 4595 5368 5514 6710 7320 7352 8052 9190 10065 10109 11028 13420 13785 16104 18380 20130 20218 22056 26840 27570 30327 36760 40260 40436 50545 55140 56059 60654 80520 80872 101090 110280 112118 121308 151635 168177 202180 224236 242616 280295 303270 336354 404360 448472 560590 606540 616649 672708 840885 1121180 1213080 1233298 1345416 1681770 1849947 2242360 2466596 3083245 3363540 3699894 4933192 6166490 6727080 7399788 9249735 12332980 14799576 18499470 24665960 36998940 73997880