Search a number
-
+
74071932 = 22311737687
BaseRepresentation
bin1000110101000…
…11111101111100
312011101020120220
410122203331330
5122430300212
611203341340
71556413104
oct432437574
9164336526
1074071932
11388a2380
1220981850
131246605c
149ba2204
15678238c
hex46a3f7c

74071932 has 48 divisors (see below), whose sum is σ = 191154432. Its totient is φ = 22135680.

The previous prime is 74071919. The next prime is 74071951. The reversal of 74071932 is 23917047.

It is a super-2 number, since 2×740719322 = 10973302220425248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 74071893 and 74071902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5793 + ... + 13479.

It is an arithmetic number, because the mean of its divisors is an integer number (3982384).

Almost surely, 274071932 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 74071932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95577216).

74071932 is an abundant number, since it is smaller than the sum of its proper divisors (117082500).

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

74071932 is a wasteful number, since it uses less digits than its factorization.

74071932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 74071932 is about 8606.5052140808. The cubic root of 74071932 is about 419.9696349929.

Adding to 74071932 its reverse (23917047), we get a palindrome (97988979).

It can be divided in two parts, 7407 and 1932, that added together give a palindrome (9339).

The spelling of 74071932 in words is "seventy-four million, seventy-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4818 7687 9636 15374 23061 30748 46122 84557 92244 169114 253671 338228 507342 561151 1014684 1122302 1683453 2244604 3366906 6172661 6733812 12345322 18517983 24690644 37035966 74071932