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29981420 = 2257239311
BaseRepresentation
bin111001001011…
…1101011101100
32002102012202222
41302113223230
530133401140
62550334512
7512560250
oct162275354
962365688
1029981420
1115a18537
12a05a438
1362996b1
143da6260
1529735b5
hex1c97aec

29981420 has 48 divisors (see below), whose sum is σ = 75091968. Its totient is φ = 9831360.

The previous prime is 29981407. The next prime is 29981423. The reversal of 29981420 is 2418992.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (29981423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436 + ... + 7875.

It is an arithmetic number, because the mean of its divisors is an integer number (1564416).

Almost surely, 229981420 is an apocalyptic number.

29981420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29981420 is an abundant number, since it is smaller than the sum of its proper divisors (45110548).

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

29981420 is a wasteful number, since it uses less digits than its factorization.

29981420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350 (or 9348 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 29981420 is about 5475.5291981689. The cubic root of 29981420 is about 310.6590902592.

The spelling of 29981420 in words is "twenty-nine million, nine hundred eighty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 9311 18622 37244 46555 65177 93110 130354 186220 214153 260708 325885 428306 651770 856612 1070765 1303540 1499071 2141530 2998142 4283060 5996284 7495355 14990710 29981420