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270503064 = 233413163197
BaseRepresentation
bin10000000111111…
…000110010011000
3200211222222110000
4100013320302120
51023222044224
642501453000
76463144446
oct2007706230
9624888400
10270503064
11129767a57
1276711160
1344070ab0
1427cd5b96
1518b340c9
hex101f8c98

270503064 has 160 divisors (see below), whose sum is σ = 825113520. Its totient is φ = 82301184.

The previous prime is 270503063. The next prime is 270503071. The reversal of 270503064 is 460305072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270503063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1373014 + ... + 1373210.

Almost surely, 2270503064 is an apocalyptic number.

270503064 is a gapful number since it is divisible by the number (24) 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 270503064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412556760).

270503064 is an abundant number, since it is smaller than the sum of its proper divisors (554610456).

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

270503064 is a wasteful number, since it uses less digits than its factorization.

270503064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 270503064 is about 16446.9773514771. The cubic root of 270503064 is about 646.7315722337.

The spelling of 270503064 in words is "two hundred seventy million, five hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 163 197 216 234 312 324 326 351 394 468 489 591 648 652 702 788 936 978 1053 1182 1304 1404 1467 1576 1773 1956 2106 2119 2364 2561 2808 2934 3546 3912 4212 4238 4401 4728 5122 5319 5868 6357 7092 7683 8424 8476 8802 10244 10638 11736 12714 13203 14184 15366 15957 16952 17604 19071 20488 21276 23049 25428 26406 30732 31914 32111 35208 38142 42552 46098 50856 52812 57213 61464 63828 64222 69147 76284 92196 96333 105624 114426 127656 128444 138294 152568 171639 184392 192666 207441 228852 256888 276588 288999 343278 385332 414882 417443 457704 553176 577998 686556 770664 829764 834886 866997 1155996 1252329 1373112 1659528 1669772 1733994 2311992 2504658 2600991 3339544 3467988 3756987 5009316 5201982 6935976 7513974 10018632 10403964 11270961 15027948 20807928 22541922 30055896 33812883 45083844 67625766 90167688 135251532 270503064