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145263936 = 2636179157
BaseRepresentation
bin10001010100010…
…00110101000000
3101010100011122210
420222020311000
5244141421221
622225302120
73412503006
oct1052106500
9333304583
10145263936
1174aa7a44
1240794940
13241312bc
1415414a76
15cb46276
hex8a88d40

145263936 has 112 divisors (see below), whose sum is σ = 398109440. Its totient is φ = 46725120.

The previous prime is 145263919. The next prime is 145263953. The reversal of 145263936 is 639362541.

It is an interprime number because it is at equal distance from previous prime (145263919) and next prime (145263953).

It is a super-2 number, since 2×1452639362 = 42203222204424192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145263894 and 145263903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925170 + ... + 925326.

Almost surely, 2145263936 is an apocalyptic number.

145263936 is a gapful number since it is divisible by the number (16) 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 145263936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199054720).

145263936 is an abundant number, since it is smaller than the sum of its proper divisors (252845504).

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

145263936 is a wasteful number, since it uses less digits than its factorization.

145263936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 145263936 is about 12052.5489420288. The cubic root of 145263936 is about 525.6773551787.

The spelling of 145263936 in words is "one hundred forty-five million, two hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 79 96 122 157 158 183 192 237 244 314 316 366 471 474 488 628 632 732 942 948 976 1256 1264 1464 1884 1896 1952 2512 2528 2928 3768 3792 3904 4819 5024 5056 5856 7536 7584 9577 9638 10048 11712 12403 14457 15072 15168 19154 19276 24806 28731 28914 30144 37209 38308 38552 49612 57462 57828 74418 76616 77104 99224 114924 115656 148836 153232 154208 198448 229848 231312 297672 306464 308416 396896 459696 462624 595344 612928 756583 793792 919392 925248 1190688 1513166 1838784 2269749 2381376 3026332 4539498 6052664 9078996 12105328 18157992 24210656 36315984 48421312 72631968 145263936