Search a number
-
+
100404080 = 2457414373
BaseRepresentation
bin1011111110000…
…00101101110000
320222221001111122
411333000231300
5201200412310
613544001412
72326264160
oct577005560
9228831448
10100404080
1151748087
1229760268
1317a556ca
14d4985a0
158c34555
hex5fc0b70

100404080 has 80 divisors (see below), whose sum is σ = 273357504. Its totient is φ = 33576960.

The previous prime is 100404049. The next prime is 100404107. The reversal of 100404080 is 80404001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 20774 + ... + 25146.

Almost surely, 2100404080 is an apocalyptic number.

100404080 is a gapful number since it is divisible by the number (10) 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 100404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136678752).

100404080 is an abundant number, since it is smaller than the sum of its proper divisors (172953424).

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

100404080 is a wasteful number, since it uses less digits than its factorization.

100404080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 100404080 is about 10020.1836310519. The cubic root of 100404080 is about 464.7832342279.

Adding to 100404080 its reverse (80404001), we get a palindrome (180808081).

The spelling of 100404080 in words is "one hundred million, four hundred four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4373 4592 5740 8746 11480 17492 21865 22960 30611 34984 43730 61222 69968 87460 122444 153055 174920 179293 244888 306110 349840 358586 489776 612220 717172 896465 1224440 1255051 1434344 1792930 2448880 2510102 2868688 3585860 5020204 6275255 7171720 10040408 12550510 14343440 20080816 25101020 50202040 100404080