[go: up one dir, main page]

Search a number
-
+
146840472 = 23336131109
BaseRepresentation
bin10001100000010…
…01101110011000
3101020022021021000
420300021232120
5300042343342
622323145000
73432060222
oct1060115630
9336267230
10146840472
1175984469
1241215160
1324563a6c
1415705412
15cd5844c
hex8c09b98

146840472 has 64 divisors (see below), whose sum is σ = 408924000. Its totient is φ = 48822912.

The previous prime is 146840467. The next prime is 146840479. The reversal of 146840472 is 274048641.

146840472 is a `hidden beast` number, since 146 + 8 + 40 + 472 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146840479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131854 + ... + 132962.

Almost surely, 2146840472 is an apocalyptic number.

146840472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146840472 is an abundant number, since it is smaller than the sum of its proper divisors (262083528).

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

146840472 is a wasteful number, since it uses less digits than its factorization.

146840472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 146840472 is about 12117.7750432990. The cubic root of 146840472 is about 527.5722258343.

It can be divided in two parts, 14 and 6840472, that added together give a palindrome (6840486).

The spelling of 146840472 in words is "one hundred forty-six million, eight hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 613 1109 1226 1839 2218 2452 3327 3678 4436 4904 5517 6654 7356 8872 9981 11034 13308 14712 16551 19962 22068 26616 29943 33102 39924 44136 59886 66204 79848 119772 132408 239544 679817 1359634 2039451 2719268 4078902 5438536 6118353 8157804 12236706 16315608 18355059 24473412 36710118 48946824 73420236 146840472