Search a number
-
+
154106946 = 232723411297
BaseRepresentation
bin10010010111101…
…11110001000010
3101201222102222200
421023313301002
5303422410241
623143014030
73550613250
oct1113676102
9351872880
10154106946
1179a97914
124373a316
1325c09356
14166775d0
15d7e14b6
hex92f7c42

154106946 has 96 divisors (see below), whose sum is σ = 408215808. Its totient is φ = 41057280.

The previous prime is 154106941. The next prime is 154106951. The reversal of 154106946 is 649601451.

154106946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (154106941) and next prime (154106951).

It is a self number, because there is not a number n which added to its sum of digits gives 154106946.

It is not an unprimeable number, because it can be changed into a prime (154106941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118170 + ... + 119466.

It is an arithmetic number, because the mean of its divisors is an integer number (4252248).

Almost surely, 2154106946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154106946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204107904).

154106946 is an abundant number, since it is smaller than the sum of its proper divisors (254108862).

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

154106946 is a wasteful number, since it uses less digits than its factorization.

154106946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 154106946 is about 12413.9818752888. The cubic root of 154106946 is about 536.1348907737.

The spelling of 154106946 in words is "one hundred fifty-four million, one hundred six thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 41 42 46 63 69 82 123 126 138 161 207 246 287 322 369 414 483 574 738 861 943 966 1297 1449 1722 1886 2583 2594 2829 2898 3891 5166 5658 6601 7782 8487 9079 11673 13202 16974 18158 19803 23346 27237 29831 39606 53177 54474 59409 59662 81711 89493 106354 118818 159531 163422 178986 208817 268479 319062 372239 417634 478593 536958 626451 744478 957186 1116717 1223071 1252902 1879353 2233434 2446142 3350151 3669213 3758706 6700302 7338426 8561497 11007639 17122994 22015278 25684491 51368982 77053473 154106946