Search a number
-
+
71946150 = 23522931637
BaseRepresentation
bin1000100100111…
…00111110100110
312000101020120020
410102130332212
5121404234100
611050020010
71532350353
oct422347646
9160336506
1071946150
1137680231
1220117606
1311ba05b3
1497ab62a
1564b25a0
hex449cfa6

71946150 has 48 divisors (see below), whose sum is σ = 179144784. Its totient is φ = 19108480.

The previous prime is 71946137. The next prime is 71946163. The reversal of 71946150 is 5164917.

It is an interprime number because it is at equal distance from previous prime (71946137) and next prime (71946163).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43132 + ... + 44768.

It is an arithmetic number, because the mean of its divisors is an integer number (3732183).

Almost surely, 271946150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71946150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89572392).

71946150 is an abundant number, since it is smaller than the sum of its proper divisors (107198634).

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

71946150 is a wasteful number, since it uses less digits than its factorization.

71946150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 71946150 is about 8482.1076390246. The cubic root of 71946150 is about 415.9130234522.

The spelling of 71946150 in words is "seventy-one million, nine hundred forty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 293 586 879 1465 1637 1758 2930 3274 4395 4911 7325 8185 8790 9822 14650 16370 21975 24555 40925 43950 49110 81850 122775 245550 479641 959282 1438923 2398205 2877846 4796410 7194615 11991025 14389230 23982050 35973075 71946150