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270148480 = 2757471283
BaseRepresentation
bin10000000110100…
…010001110000000
3200211022222001021
4100012202032000
51023124222410
642450115224
76460136620
oct2006421600
9624288037
10270148480
11129545608
127657bb14
1343c78594
1427c42880
1518ab3eda
hex101a2380

270148480 has 128 divisors (see below), whose sum is σ = 754375680. Its totient is φ = 90580992.

The previous prime is 270148471. The next prime is 270148481. The reversal of 270148480 is 84841072.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270148481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209919 + ... + 211201.

It is an arithmetic number, because the mean of its divisors is an integer number (5893560).

Almost surely, 2270148480 is an apocalyptic number.

270148480 is a gapful number since it is divisible by the number (20) 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 270148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377187840).

270148480 is an abundant number, since it is smaller than the sum of its proper divisors (484227200).

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

270148480 is a wasteful number, since it uses less digits than its factorization.

270148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 270148480 is about 16436.1942066891. The cubic root of 270148480 is about 646.4488632473.

The spelling of 270148480 in words is "two hundred seventy million, one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 280 320 329 376 448 470 560 640 658 752 896 940 1120 1283 1316 1504 1645 1880 2240 2566 2632 3008 3290 3760 4480 5132 5264 6016 6415 6580 7520 8981 10264 10528 12830 13160 15040 17962 20528 21056 25660 26320 30080 35924 41056 42112 44905 51320 52640 60301 71848 82112 89810 102640 105280 120602 143696 164224 179620 205280 210560 241204 287392 301505 359240 410560 422107 482408 574784 603010 718480 821120 844214 964816 1149568 1206020 1436960 1688428 1929632 2110535 2412040 2873920 3376856 3859264 4221070 4824080 5747840 6753712 7718528 8442140 9648160 13507424 16884280 19296320 27014848 33768560 38592640 54029696 67537120 135074240 270148480