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213474672 = 24325383337
BaseRepresentation
bin11001011100101…
…01110101110000
3112212200122012100
430232111311300
5414122142142
633103300400
75201335065
oct1456256560
9485618170
10213474672
11aa556754
125b5aa700
13352c4598
14204ccc6c
1513b1bb4c
hexcb95d70

213474672 has 120 divisors (see below), whose sum is σ = 617866704. Its totient is φ = 68769792.

The previous prime is 213474643. The next prime is 213474689. The reversal of 213474672 is 276474312.

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 23 ways as a sum of consecutive naturals, for example, 633288 + ... + 633624.

Almost surely, 2213474672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213474672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308933352).

213474672 is an abundant number, since it is smaller than the sum of its proper divisors (404392032).

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

213474672 is a wasteful number, since it uses less digits than its factorization.

213474672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 213474672 is about 14610.7724641786. The cubic root of 213474672 is about 597.6525611957.

The spelling of 213474672 in words is "two hundred thirteen million, four hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 83 106 144 159 166 212 249 318 332 337 424 477 498 636 664 674 747 848 954 996 1011 1272 1328 1348 1494 1908 1992 2022 2544 2696 2988 3033 3816 3984 4044 4399 5392 5976 6066 7632 8088 8798 11952 12132 13197 16176 17596 17861 24264 26394 27971 35192 35722 39591 48528 52788 53583 55942 70384 71444 79182 83913 105576 107166 111884 142888 158364 160749 167826 211152 214332 223768 251739 285776 316728 321498 335652 428664 447536 503478 633456 642996 671304 857328 1006956 1285992 1342608 1482463 2013912 2571984 2964926 4027824 4447389 5929852 8894778 11859704 13342167 17789556 23719408 26684334 35579112 53368668 71158224 106737336 213474672