Search a number
-
+
71873040 = 2435299471
BaseRepresentation
bin1000100100010…
…11001000010000
312000020112021110
410102023020100
5121344414130
611044253320
71531624251
oct422131020
9160215243
1071873040
1137630308
12200a1240
1311b76235
14978cb28
15649aab0
hex448b210

71873040 has 40 divisors (see below), whose sum is σ = 222807168. Its totient is φ = 19166080.

The previous prime is 71873027. The next prime is 71873051. The reversal of 71873040 is 4037817.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 71872989 and 71873007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149496 + ... + 149975.

Almost surely, 271873040 is an apocalyptic number.

It is an amenable number.

71873040 is an abundant number, since it is smaller than the sum of its proper divisors (150934128).

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

71873040 is a wasteful number, since it uses less digits than its factorization.

71873040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299487 (or 299481 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 71873040 is about 8477.7968836249. The cubic root of 71873040 is about 415.7720953334.

The spelling of 71873040 in words is "seventy-one million, eight hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 299471 598942 898413 1197884 1497355 1796826 2395768 2994710 3593652 4492065 4791536 5989420 7187304 8984130 11978840 14374608 17968260 23957680 35936520 71873040