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145894770 = 23757953
BaseRepresentation
bin10001011001000…
…10110101110010
3101011112020000000
420230202311302
5244322113040
622251010430
73421041120
oct1054426562
9334466000
10145894770
117539899a
1240a39a16
13242c2488
141553a910
15cc1d130
hex8b22d72

145894770 has 128 divisors (see below), whose sum is σ = 450593280. Its totient is φ = 33312384.

The previous prime is 145894759. The next prime is 145894781. The reversal of 145894770 is 77498541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145894759) and next prime (145894781).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152614 + ... + 153566.

It is an arithmetic number, because the mean of its divisors is an integer number (3520260).

Almost surely, 2145894770 is an apocalyptic number.

145894770 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 145894770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225296640).

145894770 is an abundant number, since it is smaller than the sum of its proper divisors (304698510).

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

145894770 is an frugal number, since it uses more digits than its factorization.

145894770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 145894770 is about 12078.6907403079. The cubic root of 145894770 is about 526.4372048711.

The spelling of 145894770 in words is "one hundred forty-five million, eight hundred ninety-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 729 810 945 953 1134 1215 1458 1701 1890 1906 2187 2430 2835 2859 3402 3645 4374 4765 5103 5670 5718 6671 7290 8505 8577 9530 10206 10935 13342 14295 15309 17010 17154 20013 21870 25515 25731 28590 30618 33355 40026 42885 51030 51462 60039 66710 76545 77193 85770 100065 120078 128655 153090 154386 180117 200130 231579 257310 300195 360234 385965 463158 540351 600390 694737 771930 900585 1080702 1157895 1389474 1621053 1801170 2084211 2315790 2701755 3242106 3473685 4168422 4863159 5403510 6947370 8105265 9726318 10421055 14589477 16210530 20842110 24315795 29178954 48631590 72947385 145894770