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672972120 = 233256727901
BaseRepresentation
bin101000000111001…
…011110101011000
31201220022112012100
4220013023311120
52334240101440
6150440043400
722451111562
oct5007136530
91656275170
10672972120
11315969a07
12169463560
13a9568172
1465540332
153e134230
hex281cbd58

672972120 has 96 divisors (see below), whose sum is σ = 2219883120. Its totient is φ = 176774400.

The previous prime is 672972109. The next prime is 672972121. The reversal of 672972120 is 21279276.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672972121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10170 + ... + 38070.

Almost surely, 2672972120 is an apocalyptic number.

672972120 is a gapful number since it is divisible by the number (60) 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 672972120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109941560).

672972120 is an abundant number, since it is smaller than the sum of its proper divisors (1546911000).

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

672972120 is a wasteful number, since it uses less digits than its factorization.

672972120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27985 (or 27978 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 672972120 is about 25941.7061890694. The cubic root of 672972120 is about 876.3259873880.

The spelling of 672972120 in words is "six hundred seventy-two million, nine hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 27901 55802 83703 111604 139505 167406 223208 251109 279010 334812 418515 502218 558020 669624 837030 1004436 1116040 1255545 1674060 1869367 2008872 2511090 3348120 3738734 5022180 5608101 7477468 9346835 10044360 11216202 14954936 16824303 18693670 22432404 28040505 33648606 37387340 44864808 56081010 67297212 74774680 84121515 112162020 134594424 168243030 224324040 336486060 672972120