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16400472 = 23311233773
BaseRepresentation
bin111110100100…
…000001011000
31010212020012220
4332210001120
513144303342
61343304040
7256254534
oct76440130
933766186
1016400472
119291a10
1255ab020
133522c2a
14226cbc4
15168e5ec
hexfa4058

16400472 has 128 divisors (see below), whose sum is σ = 48591360. Its totient is φ = 4561920.

The previous prime is 16400459. The next prime is 16400473. The reversal of 16400472 is 27400461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16400473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224628 + ... + 224700.

It is an arithmetic number, because the mean of its divisors is an integer number (379620).

Almost surely, 216400472 is an apocalyptic number.

16400472 is a gapful number since it is divisible by the number (12) 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 16400472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24295680).

16400472 is an abundant number, since it is smaller than the sum of its proper divisors (32190888).

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

16400472 is a wasteful number, since it uses less digits than its factorization.

16400472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 16400472 is about 4049.7496218902. The cubic root of 16400472 is about 254.0692559201.

The spelling of 16400472 in words is "sixteen million, four hundred thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 37 44 46 66 69 73 74 88 92 111 132 138 146 148 184 219 222 253 264 276 292 296 407 438 444 506 552 584 759 803 814 851 876 888 1012 1221 1518 1606 1628 1679 1702 1752 2024 2409 2442 2553 2701 3036 3212 3256 3358 3404 4818 4884 5037 5106 5402 6072 6424 6716 6808 8103 9361 9636 9768 10074 10212 10804 13432 16206 18469 18722 19272 20148 20424 21608 28083 29711 32412 36938 37444 40296 55407 56166 59422 62123 64824 73876 74888 89133 110814 112332 118844 124246 147752 178266 186369 221628 224664 237688 248492 356532 372738 443256 496984 683353 713064 745476 1366706 1490952 2050059 2733412 4100118 5466824 8200236 16400472