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100242464 = 2572319457
BaseRepresentation
bin1011111100110…
…01010000100000
320222121211210212
411332121100200
5201130224324
613540313252
72325022040
oct576312040
9228554725
10100242464
1151647713
12296a2828
13179c9c8a
14d455720
158c0170e
hex5f99420

100242464 has 48 divisors (see below), whose sum is σ = 235363968. Its totient is φ = 41091072.

The previous prime is 100242449. The next prime is 100242479. The reversal of 100242464 is 464242001.

It is an interprime number because it is at equal distance from previous prime (100242449) and next prime (100242479).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4577 + ... + 14880.

It is an arithmetic number, because the mean of its divisors is an integer number (4903416).

Almost surely, 2100242464 is an apocalyptic number.

100242464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100242464 is an abundant number, since it is smaller than the sum of its proper divisors (135121504).

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

100242464 is a wasteful number, since it uses less digits than its factorization.

100242464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19497 (or 19489 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 100242464 is about 10012.1158602965. The cubic root of 100242464 is about 464.5337199747.

Adding to 100242464 its reverse (464242001), we get a palindrome (564484465).

The spelling of 100242464 in words is "one hundred million, two hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 19457 38914 77828 136199 155656 272398 311312 447511 544796 622624 895022 1089592 1790044 2179184 3132577 3580088 4358368 6265154 7160176 12530308 14320352 25060616 50121232 100242464