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145787070 = 2351113171999
BaseRepresentation
bin10001011000010…
…00100010111110
3101011022202021010
420230020202332
5244310141240
622244420050
73420112122
oct1054104276
9334282233
10145787070
1175324a90
12409a7626
1324285450
141550d582
15cbeb280
hex8b088be

145787070 has 128 divisors (see below), whose sum is σ = 435456000. Its totient is φ = 30689280.

The previous prime is 145787051. The next prime is 145787077. The reversal of 145787070 is 70787541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145787077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71931 + ... + 73929.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2145787070 is an apocalyptic number.

145787070 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 145787070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

145787070 is an abundant number, since it is smaller than the sum of its proper divisors (289668930).

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

145787070 is a wasteful number, since it uses less digits than its factorization.

145787070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050.

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 145787070 is about 12074.2316525732. The cubic root of 145787070 is about 526.3076337561.

The spelling of 145787070 in words is "one hundred forty-five million, seven hundred eighty-seven thousand, seventy".

Divisors: 1 2 3 5 6 10 11 13 15 17 22 26 30 33 34 39 51 55 65 66 78 85 102 110 130 143 165 170 187 195 221 255 286 330 374 390 429 442 510 561 663 715 858 935 1105 1122 1326 1430 1870 1999 2145 2210 2431 2805 3315 3998 4290 4862 5610 5997 6630 7293 9995 11994 12155 14586 19990 21989 24310 25987 29985 33983 36465 43978 51974 59970 65967 67966 72930 77961 101949 109945 129935 131934 155922 169915 203898 219890 259870 285857 329835 339830 373813 389805 441779 509745 571714 659670 747626 779610 857571 883558 1019490 1121439 1325337 1429285 1715142 1869065 2208895 2242878 2650674 2858570 3738130 4287855 4417790 4859569 5607195 6626685 8575710 9719138 11214390 13253370 14578707 24297845 29157414 48595690 72893535 145787070