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154292940 = 223257112073
BaseRepresentation
bin10010011001001…
…01001011001100
3101202022220010100
421030211023030
5303444333230
623151011100
73552316434
oct1114451314
9352286110
10154292940
117a10462a
1243809a90
1325c72bc9
14166c52c4
15d82b660
hex93252cc

154292940 has 72 divisors (see below), whose sum is σ = 474653088. Its totient is φ = 40561920.

The previous prime is 154292917. The next prime is 154292951. The reversal of 154292940 is 49292451.

It is a super-2 number, since 2×1542929402 = 47612622667687200, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 154292895 and 154292904.

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, 6744 + ... + 18816.

It is an arithmetic number, because the mean of its divisors is an integer number (6592404).

Almost surely, 2154292940 is an apocalyptic number.

154292940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154292940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237326544).

154292940 is an abundant number, since it is smaller than the sum of its proper divisors (320360148).

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

154292940 is a wasteful number, since it uses less digits than its factorization.

154292940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12159 (or 12154 counting only the distinct ones).

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

The square root of 154292940 is about 12421.4709273902. The cubic root of 154292940 is about 536.3504938237.

The spelling of 154292940 in words is "one hundred fifty-four million, two hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12073 12780 24146 36219 48292 60365 72438 108657 120730 144876 181095 217314 241460 362190 434628 543285 724380 857183 1086570 1714366 2173140 2571549 3428732 4285915 5143098 7714647 8571830 10286196 12857745 15429294 17143660 25715490 30858588 38573235 51430980 77146470 154292940