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147973056 = 26371110009
BaseRepresentation
bin10001101000111…
…10001111000000
3101022102210212120
420310132033000
5300340114211
622403324240
73444515220
oct1064361700
9338383776
10147973056
1176588390
1241680680
132486c42a
141591c080
15cecdd06
hex8d1e3c0

147973056 has 112 divisors (see below), whose sum is σ = 488167680. Its totient is φ = 38430720.

The previous prime is 147973039. The next prime is 147973073. The reversal of 147973056 is 650379741.

It is an interprime number because it is at equal distance from previous prime (147973039) and next prime (147973073).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 147972999 and 147973017.

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, 9780 + ... + 19788.

It is an arithmetic number, because the mean of its divisors is an integer number (4358640).

Almost surely, 2147973056 is an apocalyptic number.

147973056 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 147973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244083840).

147973056 is an abundant number, since it is smaller than the sum of its proper divisors (340194624).

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

147973056 is a wasteful number, since it uses less digits than its factorization.

147973056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10042 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 147973056 is about 12164.4176186121. The cubic root of 147973056 is about 528.9251457175.

The spelling of 147973056 in words is "one hundred forty-seven million, nine hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 10009 14784 20018 30027 40036 60054 70063 80072 110099 120108 140126 160144 210189 220198 240216 280252 320288 330297 420378 440396 480432 560504 640576 660594 770693 840756 880792 960864 1121008 1321188 1541386 1681512 1761584 1921728 2242016 2312079 2642376 3082772 3363024 3523168 4484032 4624158 5284752 6165544 6726048 7046336 9248316 10569504 12331088 13452096 18496632 21139008 24662176 36993264 49324352 73986528 147973056