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270672024 = 23371924463
BaseRepresentation
bin10000001000100…
…010000010011000
3200212022120012210
4100020202002120
51023243001044
642505235120
76464450160
oct2010420230
9625276183
10270672024
11129872997
1276792aa0
13440cc97c
1427d3b5a0
1518b691b9
hex10222098

270672024 has 96 divisors (see below), whose sum is σ = 816376320. Its totient is φ = 73248192.

The previous prime is 270672023. The next prime is 270672049. The reversal of 270672024 is 420276072.

It is a junction number, because it is equal to n+sod(n) for n = 270671982 and 270672000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270672023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58417 + ... + 62879.

It is an arithmetic number, because the mean of its divisors is an integer number (8503920).

Almost surely, 2270672024 is an apocalyptic number.

270672024 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 270672024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408188160).

270672024 is an abundant number, since it is smaller than the sum of its proper divisors (545704296).

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

270672024 is a wasteful number, since it uses less digits than its factorization.

270672024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 270672024 is about 16452.1130557749. The cubic root of 270672024 is about 646.8661967389.

The spelling of 270672024 in words is "two hundred seventy million, six hundred seventy-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 361 399 456 532 722 798 1064 1083 1444 1596 2166 2527 2888 3192 4332 4463 5054 7581 8664 8926 10108 13389 15162 17852 20216 26778 30324 31241 35704 53556 60648 62482 84797 93723 107112 124964 169594 187446 249928 254391 339188 374892 508782 593579 678376 749784 1017564 1187158 1611143 1780737 2035128 2374316 3222286 3561474 4748632 4833429 6444572 7122948 9666858 11278001 12889144 14245896 19333716 22556002 33834003 38667432 45112004 67668006 90224008 135336012 270672024