[go: up one dir, main page]

Search a number
-
+
90062064 = 24331631279
BaseRepresentation
bin1010101111000…
…11110011110000
320021110121221000
411113203303300
5141023441224
612534202000
72142341421
oct527436360
9207417830
1090062064
1146923a64
12261b3300
1315874281
14bd65648
157d900c9
hex55e3cf0

90062064 has 80 divisors (see below), whose sum is σ = 260300800. Its totient is φ = 29813184.

The previous prime is 90062053. The next prime is 90062069. The reversal of 90062064 is 46026009.

It is a super-2 number, since 2×900620642 = 16222350743880192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90062069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69777 + ... + 71055.

It is an arithmetic number, because the mean of its divisors is an integer number (3253760).

Almost surely, 290062064 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 90062064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130150400).

90062064 is an abundant number, since it is smaller than the sum of its proper divisors (170238736).

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

90062064 is a wasteful number, since it uses less digits than its factorization.

90062064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90062064 is about 9490.1034767804. The cubic root of 90062064 is about 448.2434635427.

The spelling of 90062064 in words is "ninety million, sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 163 216 326 432 489 652 978 1279 1304 1467 1956 2558 2608 2934 3837 3912 4401 5116 5868 7674 7824 8802 10232 11511 11736 15348 17604 20464 23022 23472 30696 34533 35208 46044 61392 69066 70416 92088 138132 184176 208477 276264 416954 552528 625431 833908 1250862 1667816 1876293 2501724 3335632 3752586 5003448 5628879 7505172 10006896 11257758 15010344 22515516 30020688 45031032 90062064