Search a number
-
+
146248704 = 2103272267
BaseRepresentation
bin10001011011110…
…01010000000000
3101012012012111200
420231321100000
5244414424304
622302341200
73424044030
oct1055712000
9335165450
10146248704
117560a8a8
1240b8a800
13243b75c4
14155cd8c0
15cc8ce39
hex8b79400

146248704 has 132 divisors (see below), whose sum is σ = 482829984. Its totient is φ = 41766912.

The previous prime is 146248693. The next prime is 146248717. The reversal of 146248704 is 407842641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63379 + ... + 65645.

Almost surely, 2146248704 is an apocalyptic number.

146248704 is a gapful number since it is divisible by the number (14) 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 146248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241414992).

146248704 is an abundant number, since it is smaller than the sum of its proper divisors (336581280).

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

146248704 is a wasteful number, since it uses less digits than its factorization.

146248704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 146248704 is about 12093.3330393238. Note that the first 3 decimals coincide. The cubic root of 146248704 is about 526.8625652347.

The spelling of 146248704 in words is "one hundred forty-six million, two hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2267 2304 2688 3072 3584 4032 4534 4608 5376 6801 7168 8064 9068 9216 10752 13602 15869 16128 18136 20403 21504 27204 31738 32256 36272 40806 47607 54408 63476 64512 72544 81612 95214 108816 126952 142821 145088 163224 190428 217632 253904 285642 290176 326448 380856 435264 507808 571284 580352 652896 761712 870528 1015616 1142568 1160704 1305792 1523424 1741056 2031232 2285136 2321408 2611584 3046848 3482112 4062464 4570272 5223168 6093696 6964224 8124928 9140544 10446336 12187392 16249856 18281088 20892672 24374784 36562176 48749568 73124352 146248704