Search a number
-
+
124144770 = 235311311019
BaseRepresentation
bin1110110011001…
…00110010000010
322122121012121110
413121210302002
5223240113040
620152504150
73035133051
oct731446202
9278535543
10124144770
1164092892
12356ab056
131c948659
14126b8398
15ad73980
hex7664c82

124144770 has 64 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 31761600.

The previous prime is 124144759. The next prime is 124144781. The reversal of 124144770 is 77441421.

It is an interprime number because it is at equal distance from previous prime (124144759) and next prime (124144781).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121321 + ... + 122339.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2124144770 is an apocalyptic number.

124144770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124144770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280).

124144770 is an abundant number, since it is smaller than the sum of its proper divisors (186065790).

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

124144770 is a wasteful number, since it uses less digits than its factorization.

124144770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191.

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 124144770 is about 11142.0271943664. The cubic root of 124144770 is about 498.8570828045.

The spelling of 124144770 in words is "one hundred twenty-four million, one hundred forty-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 131 155 186 262 310 393 465 655 786 930 1019 1310 1965 2038 3057 3930 4061 5095 6114 8122 10190 12183 15285 20305 24366 30570 31589 40610 60915 63178 94767 121830 133489 157945 189534 266978 315890 400467 473835 667445 800934 947670 1334890 2002335 4004670 4138159 8276318 12414477 20690795 24828954 41381590 62072385 124144770